Direct acting capacitive transducer

ABSTRACT

A capacitive transducer having a significantly increased actuation force and improved response time as compared to similar prior art capacitive transducers. In the capacitive transducer of the present invention it is not necessary to balance response time and actuation force or to provide pre-strain to the transducer in a direction of actuation. Additionally, buckling in the capacitive transducer is prevented, or at least substantially reduced, in a simple manner.

CROSS REFERENCE TO RELATED APPLICATIONS

This application is entitled to the benefit of and incorporates by reference essential subject matter disclosed in Provisional Patent Application Ser. No. 60/856,488 filed on Nov. 3, 2006.

FIELD OF THE INVENTION

The present invention relates to a capacitive transducer capable of converting between electrical energy and mechanical energy. More particularly, the present invention relates to a capacitive transducer having a set of corrugated electrodes, the corrugation having been obtained without applying a pre-strain to a material holding the electrodes. The capacitive transducer of the present invention may advantageously be formed by rolling a web of a dielectric material holding the set of electrodes, the dielectric material preferably having electrical and mechanical properties similar to those of elastomers.

BACKGROUND OF THE INVENTION

Electroactive polymers capable of performing a deflection in response to a voltage is well known technology, like the compliant electrodes described in U.S. Pat. No. 6,376,971, being positioned in contact with a polymer in such a way, that when applying a potential difference between the electrodes, the electric field arising across the polymer thickness contracts the electrodes against each other, thereby deflecting the polymer. Since the electrodes are of a substantially rigid material, they must be made textured in order to make them compliant.

The electrodes are described as having an ‘in the plane’ or ‘out of the plane’ compliance. In U.S. Pat. No. 6,376,971 the out of the plane compliant electrodes may be provided by stretching a polymer more than it will normally be able to stretch during actuation, and a layer of stiff material is deposited on the stretched polymer surface. For example, the stiff material may be a polymer that is cured while the electroactive polymer is stretched. After curing, the electroactive polymer is relaxed, and the structure buckles to provide a textured surface. The thickness of the stiff material may be altered to provide texturing on any scale, including submicrometer levels. Alternatively, textured surfaces may be produced by reactive ion etching (RIE). By way of example, RIE may be performed on a pre-strained polymer comprising silicon with an RIE gas comprising 90 percent carbon tetrafluoride and 10 percent oxygen to form a surface with wave troughs and crests of 4 to 5 micrometers in depth. As another alternative, the electrodes may be adhered to a surface of the polymer. Electrodes adhering to the polymer are preferably compliant and conform to the changing shape of the polymer. Textured electrodes may provide compliance in more than one direction. A rough textured electrode may provide compliance in orthogonal planar directions.

Also in U.S. Pat. No. 6,376,971 there is disclosed a planar compliant electrode being structured and providing one-directional compliance, where metal traces are patterned in parallel lines over a charge distribution layer, both of which cover an active area of a polymer. The metal traces and charge distribution layer are applied to opposite surfaces of the polymer. The charge distribution layer facilitates distribution of charge between metal traces and is compliant. As a result, the structured electrode allows deflection in a compliant direction perpendicular to the parallel metal traces. In general, the charge distribution layer has a conductance greater than the electroactive polymer but less than the metal traces.

The polymer may be pre-strained in one or more directions. Pre-strain may be achieved by mechanically stretching a polymer in one or more directions and fixing it to one or more solid members (e.g., rigid plates) while strained. Another technique for maintaining pre-strain includes the use of one or more stiffeners. The stiffeners are long rigid structures placed on a polymer while it is in a pre-strained state, e.g. while it is stretched. The stiffeners maintain the pre-strain along their axis. The stiffeners may be arranged in parallel or according to other configurations in order to achieve directional compliance of the transducer.

Compliant electrodes disclosed in U.S. Pat. No. 6,376,971 may comprise conductive grease, such as carbon grease or silver grease, providing compliance in multiple directions, or the electrodes may comprise carbon fibrils, carbon nanotubes, mixtures of ionically conductive materials or colloidal suspensions. Colloidal suspensions contain submicrometer sized particles, such as graphite, silver and gold, in a liquid vehicle.

The polymer may be a commercially available product such as a commercially available acrylic elastomer film. It may be a film produced by casting, dipping, spin coating or spraying.

Textured electrodes known in the prior art may, alternatively, be patterned photolithographically. In this case, a photoresist is deposited on a pre-strained polymer and patterned using a mask. Plasma etching may remove portions of the electroactive polymer not protected by the mask in a desired pattern. The mask may be subsequently removed by a suitable wet etch. The active surfaces of the polymer may then be covered with the thin layer of gold deposited by sputtering, for example.

A rolled electroactive polymer device is described in U.S. Pat. No. 6,891,317, where it includes a rolled electroactive polymer and at least two electrodes to provide the mechanical/electrical energy conversion. The rolled electroactive polymer device may employ a mechanism, such as a spring, that provides a force to pre-strain the polymer.

Thus, U.S. Pat. No. 6,891,317 discloses a rolled electroactive polymer, e.g. an electroactive polymer with, or without electrodes, wrapped round and round onto itself (e.g. like a poster) or wrapped around another object (e.g. a spring). The polymer may be wound repeatedly and at the very least comprises an outer layer portion of the polymer overlapping at least an inner layer portion of the polymer. For single electroactive polymer layer construction, a rolled electroactive polymer may comprise between about 2 and about 200 layers. In this case, a layer refers to the number of polymer films or sheets encountered in a radial cross-section of a rolled polymer. The spring provides forces that result in both circumferential and axial pre-strain being applied to the polymer.

Rolled electroactive polymers may employ a multilayer structure, where multiple polymer layers are disposed on each other before rolling or winding. For example, a second electroactive polymer layer, without electrodes patterned thereon, may be disposed on an electroactive polymer having electrodes patterned on both surfaces. The electrode immediately between the two polymers services both polymer surfaces in immediate contact. After rolling, the electrode on the bottom surface of the electroded polymer then contacts the top surface of the non-electroded polymer. In this manner, the second electroactive polymer with no electrodes patterned thereon uses the two electrodes on the first electroded polymer.

Other multilayer constructions are possible. For example, a multilayer construction may comprise any even number of polymer layers in which the odd number polymer layers are electroded and the even number polymer layers are not. The upper surface of the top non-electroded polymer then relies on the electrode on the bottom of the stack after rolling. Multilayer constructions having 2, 4, 6, 8, etc., layers are possible using this technique. In some cases, the number of layers used in a multilayer construction may be limited by the dimensions of the roll and thickness of polymer layers. As the roll radius decreases, the number of permissible layers typically decreases as well. Regardless of the number of layers used, the rolled transducer is configured such that a given polarity electrode does not touch an electrode of opposite polarity. Multiple layers may each be individually electroded and every other polymer layer may be flipped before rolling, such that electrodes in contact with each other after rolling are of a similar voltage or polarity.

Producing electroactive polymers, and in particular rolled transducers, using the technique described in U.S. Pat. No. 6,376,971 and U.S. Pat. No. 6,891,317 has the disadvantage that direction of compliance of the corrugated electrodes is very difficult to control.

Furthermore, it is desirable to make the transducer by rolling a web of a dielectric material, e.g. a polymeric web, having electrodes arranged thereon, since reliability of the device is thereby improved, and a larger actuation force is obtained as the number of windings of the rolled structure increases. Thus, if a large actuation force is desired, then a large number of windings should be provided. However, using the prior art techniques described in U.S. Pat. No. 6,376,971 and U.S. Pat. No. 6,891,317, the possible number of winding is limited due to the necessary minimum thickness of the polymeric film.

Finally, in order to obtain the necessary compliance using the prior art technology, it is necessary to use materials having a relatively high electrical resistance for the electrodes. Since a rolled transducer with a large number of windings will implicitly have very long electrodes, the total electrical resistance for the electrodes will be very high. The response time for a transducer of this kind is given by τ=R·C, where R is the total electrical resistance of the electrodes and C is the capacitance of the capacitor. Thus, a high total electrical resistance results in a very long response time for the transducer. Thus, in order to obtain an acceptable response time, the number of windings must be limited, and thereby the actuation force is also limited, i.e. response time and actuation force must be balanced when the transducer is designed.

Thus, traditional designs of electroactive polymer actuators based on the dielectric polymer principle have so far been on four different configurations, i.e. single actuator sheets of limited dimensions, stacks of single actuator sheets of limited dimensions and numbers, rolled single actuator sheets of limited dimensions and very limited number of windings, and rolled stacks of single actuator sheets of limited dimensions and very limited number of windings.

All of the actuator configurations listed above have a common working principle that they have to be operated in a pre-strained mode either by pre-loading with a mass (constant load, typical for vertical displacements) or by pre-loading with a spring or spring-like elements under compression or in a stretched state. Both of these pre-strained configurations aim at compensating for the lack of stiffness of these very soft electroactive material structures in the direction of actuation. Indeed, when electrical energy is supplied to them, it is the mass or the spring that is delivering most of the mechanical work. The electroactive material delivers work only when electrical energy is removed from it, i.e. it is discharged, due to the restitution of potential energy stored in the electroactive material. In the absence of pre-loading, such electroactive actuators tend to bend or buckle, due to tensile stress, rather than exert any substantial axial actuation force when electrical energy is supplied to them.

SUMMARY OF THE INVENTION

It is, thus, an object of the invention to provide a capacitive transducer having a significantly increased actuation force as compared to similar prior art capacitive transducers.

It is a further object of the invention to provide a capacitive transducer having an improved response time as compared to similar prior art capacitive transducers.

It is an even further object of the invention to provide a capacitive transducer in which it is not necessary to balance response time and actuation force.

It is an even further object of the invention to provide a capacitive transducer in which it is not necessary to provide pre-strain to the transducer in a direction of actuation.

It is an even further object of the invention to provide a capacitive transducer in which buckling is prevented, or at least substantially reduced, in a simple manner.

According to a first aspect of the invention the above and other objects are fulfilled by providing a capacitive transducer comprising a set of electrodes arranged with a dielectric material there between, the electrodes and the dielectric material thereby forming a capacitor, wherein the capacitor is arranged in such a manner that electrical energy supplied to the electrodes can be at least partly converted directly into mechanical work for actuation by the transducer.

In the present context the term ‘transducer’ should be interpreted to mean a device which is capable of converting between mechanical and electrical energy. Thus, the transducer may be a sensor which is capable of transforming mechanical energy, e.g. supplied by applying a force to the transducer, into electrical energy, e.g. in the form of an electrical signal, e.g. indicating the size of the force applied to the transducer, and thereby sensed by the sensor. Alternatively or additionally, the transducer may be an actuator capable of transforming electrical energy, e.g. in the form of an electrical potential applied between the electrodes, into mechanical energy, e.g. a contraction of the transducer along a specified direction and/or an elongation of the transducer along a specified direction. Thus, in this case, an electrical potential difference between two electrodes located on opposite surfaces of the dielectric material generates an electric field leading to a force of attraction. As a result, the distance between the electrodes changes and the change leads to compression of the dielectric material which is thereby deformed. Due to certain similarities with a muscle, such an actuator is sometimes referred to as an artificial muscle.

In the present context the term ‘dielectric material’ should be interpreted to mean a material having a relative permittivity, ∈_(r), which is larger than or equal to 2.

The capacitor is arranged in such a manner that electrical energy supplied to the electrodes can be at least partly converted directly into mechanical work for actuation by the transducer. In the present context the term ‘directly’ means that application of electrical energy moves the transducer directly as a consequence of the deformation of the dielectric material, and not as a consequence of release of potential energy stored in a pre-load mass, a spring, or in another kind of elastically deformable element. Thus, ‘directly’ should be interpreted as ‘without releasing stored energy’. On the other hand, when electrical energy is supplied to the electrodes, the deformation of the dielectric material builds up potential energy, and when the potential difference between the electrodes disappears, the potential energy is released as the dielectric material reverts to its previous shape. Thus, according to the present invention, the applied electrical energy is at least partly converted into mechanical work which moves the transducer directly without releasing stored potential energy from pre-load masses, springs or other means. In other words, the electrical energy is immediately converted into mechanical work, i.e. it is converted while the electrical energy is being supplied. This is an advantage since it allows the transducer to be designed without having to apply a pre-strain to the transducer in a direction of actuation. Thus, according to the invention, an electroactive material, i.e. the electrodes with the dielectric material arranged there between, is the only element which delivers mechanical work, both when electrical energy is supplied to it and when electrical energy is removed from it. Accordingly, buckling can be prevented, or at least substantially reduced, in a very simple manner.

According to the present invention it is thereby obtained that fewer components are necessary in order to manufacture the transducer, and a higher degree of freedom to design the transducer is possible, e.g. taking other parameters into consideration. The manufacturing costs are also reduced. Furthermore, the fact that it is not necessary to store the supplied electrical energy, e.g. in the form of potential energy, before converting it into mechanical work, reduces energy losses in the transducer considerably, thereby providing a more efficient transducer. Finally, the wear on the transducer is reduced, thereby prolonging the lifetime of the transducer, and the noise level of the transducer during operation is reduced.

Preferably, at least a substantial part of the supplied electrical energy is converted directly into mechanical work. Accordingly, when electrical energy is supplied to the electrodes, at least a substantial part of the supplied energy, such as more than 50%, or even more than 80% or 90%, is immediately converted into mechanical work while the electrical energy is being supplied.

The capacitor may further be arranged in such a manner that electrical energy supplied to the electrodes can be partly converted into potential energy, said potential energy being stored in the dielectric material, and in such a manner that stored potential energy can be converted into work for actuation by the transducer during discharging of the capacitor. According to this embodiment, a part of the supplied electrical energy, preferably a substantial part, is converted directly into mechanical work as described above. However, at the same time, a part of the supplied electrical energy, preferably a minor part, is converted into potential energy, similarly to the manner in which prior art transducers operate. When the electrical potential difference between the electrodes is subsequently reduced, the capacitor, which was charged during the supply of electrical energy, will start discharging. During discharge of the capacitor the stored potential energy is released and converted into mechanical work. Thus, according to this embodiment of the invention, the transducer is capable of operating in periods where electrical energy is supplied to the electrodes as well as in periods where no electrical energy is supplied to the electrodes. According to this embodiment it will be possible to load the transducer, and when the load is subsequently removed, the loaded transducer will be able to perform mechanical work. Since the transducer as such is deformable it may, in this case, be regarded as a spring with a variable spring characteristic. Such a transducer may, e.g., be used for damping purposes or as a spring.

The dielectric material may be a polymer, e.g. an elastomer, such as a silicone elastomer, such as a weak adhesive silicone. A suitable elastomer is Elastosil RT 625, manufactured by Wacker-Chemie. Alternatively, Elastosil RT 622 or Elastosil RT 601, also manufactured by Wacker-Chemie may be used. As an alternative, other kinds of polymers may be chosen.

In the case that a dielectric material which is not an elastomer is used, it should be noted that the dielectric material should have elastomer-like properties, e.g. in terms of elasticity. Thus, the dielectric material should be deformable to such an extent that the resulting transducer is capable of pushing and/or pulling due to deformations of the dielectric material.

The electrodes may be coated onto a film of dielectric material. In this case very thin electrodes may be provided.

At least one surface of the dielectric material may be provided with a corrugated pattern. According to this embodiment, the corrugated pattern of the surface of the dielectric material may provide a desired compliance of the capacitor, in particular of an electrode arranged on the surface of the dielectric material being provided with the corrugated pattern. In the case that a thin electrode is applied to the corrugated surface, the electrode will follow the corrugated pattern, and the compliance of the corrugated surface will thereby be adopted by the electrode.

The corrugated pattern may comprise waves forming crests and troughs extending in one common direction, the waves defining an anisotropic characteristic facilitating movement in a direction perpendicular to the common direction. According to this embodiment the crests and troughs resemble standing waves with essentially parallel wave fronts. However, the waves are not necessarily sinusoidal, but could have any suitable shape as long as crests and troughs are defined. According to this embodiment a crest (or a trough) will define an at least substantially linear line. This at least substantially linear line will be at least substantially parallel to similar linear lines formed by other crest and troughs, and the directions of the at least substantially linear lines define the common direction. The common direction defined in this manner has the consequence that anisotropy occurs, and that movement of the capacitor in a direction perpendicular to the common direction is facilitated, i.e. the capacitor, or at least an electrode arranged on the corrugated surface, is compliant in a direction perpendicular to the common direction. Preferably, the compliance of the capacitor in the compliant direction is at least 50 times larger than its compliance in the common direction, i.e. perpendicularly to the compliant direction.

The waves may have a shape which is periodically repeated. In one embodiment, this could mean that each of the crests and each of the troughs are at least substantially identical. Alternatively, the periodicity may be obtained on a larger scale, i.e. the repeated pattern may be several ‘wavelengths’ long. For instance, the wavelength, the amplitude, the shape of the crests/troughs, etc. may be periodically repeated. As an alternative, the shape of the waves may be non-periodical.

Each wave may define a height being a shortest distance between a crest and neighbouring troughs. In this case each wave may define a largest wave having a height of at most 110 percent of an average wave height, and/or each wave may define a smallest wave having a height of at least 90 percent of an average wave height. According to this embodiment variations in the height of the waves are very small, i.e. a very uniform pattern is obtained.

According to one embodiment, an average wave height of the waves may be between ⅓ μm and 20 μm, such as between 1 μm and 15 μm, such as between 2 μm and 10 μm, such as between 4 μm and 8 μm.

Alternatively or additionally, the waves may have a wavelength defined as the shortest distance between two crests, and the ratio between an average height of the waves and an average wavelength may be between 1/30 and 2, such as between 1/20 and 1.5, such as between 1/10 and 1.

The waves may have an average wavelength in the range of 1 μm to 20 μm, such as in the range of 2 μm to 15 μm, such as in the range of 5 μm to 10 μm.

The dielectric material may have a thickness defined as the shortest distance from a point on one surface of the dielectric material to an intermediate point located halfway between a crest and a trough on a corrugated surface of the dielectric material, and the thickness may be between 10 μm and 200 μm, such as between 20 μm and 150 μm, such as between 30 μm and 100 μm, such as between 40 μm and 80 μm.

A ratio between an average height of the waves and an average thickness of the dielectric material may be between 1/50 and 1/2, such as between 1/40 and 1/3, such as between 1/30 and 1/4, such as between 1/20 and 1/5.

A ratio between an average thickness of the electrodes and an average height of the waves may be between 1/1000 and 1/50, such as between 1/800 and 1/100, such as between 1/700 and 1/200.

At least one of the electrodes may be provided with a corrugated surface pattern. This may advantageously be obtained as described above, i.e. by applying an electrode to a corrugated surface of the dielectric material, the electrode thereby adopting the corrugated pattern of the surface. Alternatively, the corrugated surface pattern of the electrode may be obtained in any other suitable manner, e.g. by pre-straining the dielectric material, applying the electrode to a surface of the pre-strained dielectric material, and removing the pre-strain. The resulting electrode will have a corrugated surface pattern. This approach has been described in the prior art.

In a preferred embodiment of the invention the capacitor is designed by optimising the parameters defined above in such a manner that dielectric and mechanical properties of the dielectric material as well as of the electrode material are taken into consideration, and in such a manner that a capacitor having desired properties is obtained. Thus, the average thickness of the dielectric material may be selected with due consideration to the relative permittivity and breakdown field of the dielectric material on the one hand, and electrical potential difference between the electrodes on the other hand. Similarly, the height of the crests may be optimised with respect to the thickness of the dielectric material in order to obtain a relatively uniform electric field distribution across a film of dielectric material arranged between the electrodes. Furthermore, electrode thickness, average wavelength, and wave height may be optimised in order to obtain a desired compliance. This will be described further below with reference to the drawings.

According to a preferred embodiment the capacitor may have been rolled to form a coiled pattern of dielectric material and electrodes, the rolled capacitor thereby forming the transducer. In the present context the term ‘coiled pattern’ should be interpreted to mean that a cross section of the transducer exhibits a flat, spiral-like pattern of electrodes and dielectric material. Thus, the rolled capacitor resembles a Swiss roll or part of a Swiss roll.

According to this embodiment, the transducer is preferably designed by rolling/spooling a capacitor of potentially unlimited length in a thick-walled column-like self-supporting structure, the self-supporting structure being sufficiently strong to prevent buckling during normal operation.

The capacitor may be rolled around an axially extending axis to form a transducer of an elongated shape extending in the axial direction.

The rolled capacitor may form a tubular member. This should be understood in such a manner that the rolled capacitor defines an outer surface and an inner surface facing a hollow interior cavity of the rolled capacitor. Thus, the capacitor in this case forms a ‘tube’, but the ‘tube’ may have any suitable shape.

In the case that the rolled capacitor forms a tubular member, the rolled capacitor may form a member of a substantially cylindrical or cylindrical-like shape. In the present context the term ‘cylindrical-like shape’ should be interpreted to mean a shape defining a longitudinal axis, and where a cross section of the member along a plane which is at least substantially perpendicular to the longitudinal axis will have a size and a shape which is at least substantially independent of the position along the longitudinal axis. Thus, according to this embodiment the cross section may have an at least substantially circular shape, thereby defining a tubular member of a substantially cylindrical shape. However, it is preferred that the cross section has a non-circular shape, such as an elliptical shape, an oval shape, a rectangular shape, or even an unsymmetrical shape. A non-circular shape is preferred because it is desired to change the cross sectional area of the transducer during operation, while maintaining an at least substantially constant circumference of the cross section. In the case that the cross section has a circular shape this is not possible, since a circular shape with a constant circumference is not able to change its area. Accordingly, a non-circular shape is preferred.

The rolled capacitor may define a cross sectional area, A, being the area of the part of the cross section of the rolled capacitor where the material forming the rolled capacitor is positioned, and A may be within the range 10 mm² to 20000 mm², such as within the range 50 mm² to 2000 mm², such as within the range 75 mm² to 1500 mm², such as within the range 100 mm² to 1000 mm², such as within the range 200 mm² to 700 mm². Thus, A may be regarded as the size of the part of the total cross sectional area of the rolled capacitor, which is ‘occupied’ by the capacitor. In other words, A is the cross sectional area which is delimited on one side by the outer surface and on the other side by the inner surface facing the hollow cavity of the rolled structure.

The rolled capacitor may define a radius of gyration, r_(g), given by

${r_{g} = \sqrt{\frac{I}{A}}},$ where I is the area moment of inertia of the rolled capacitor, and r_(g) may be within the range 5 mm to 100 mm, such as within the range 10 mm to 75 mm, such as within the range 25 mm to 50 mm. The radius of gyration, r_(g), reflects a distance from a centre axis running along the longitudinal axis of the tubular member which, if the entire cross section of the rolled capacitor was located at that distance from the centre axis, it would result in the same moment of inertia, I.

Furthermore, the rolled capacitor may define a slenderness ratio, λ, given by λ=L/r_(g), where L is an axial length of the rolled capacitor, and λ may be smaller than 20, such as smaller than 10. Thus, the slenderness ratio, λ, reflects the ratio between the axial length of the rolled capacitor and the radius defined above. Accordingly, if λ is high the axial length is large as compared to the radius, and the rolled capacitor will thereby appear to be a ‘slender’ object. On the other hand, if λ is low the length is small as compared to the radius, and the rolled capacitor will thereby appear to be a ‘fat’ object, hence the term ‘slenderness ratio’. An object having a low slenderness ratio tends to exhibit more stiffness than an object having a high slenderness ratio. Accordingly, in a rolled capacitor having a low slenderness ratio buckling during actuation is avoided, or at least reduced considerably.

The rolled capacitor may define a wall thickness, t, and the ratio t/r_(g) may be within the range 1/1000 to 2, such as within the range 1/500-1, such as within the range 1/300-2/3. This ratio reflects how thin or thick the wall defined by the rolled capacitor is as compared to the total size of the rolled capacitor. If the ratio is high the wall thickness is large, and the hollow cavity defined by the rolled capacitor is relatively small. On the other hand, if the ratio is low the wall thickness is small, and the hollow cavity defined by the rolled capacitor is relatively large.

Alternatively or additionally, the rolled capacitor may have a wall thickness, t, and may comprise a number of windings, n, being in the range of 5 to 100 windings per mm wall thickness, such as in the range 10 to 50 windings per mm wall thickness. The larger this number is, the thinner the unrolled capacitor has to be. A large number of windings of a thin film allows a given actuation force to be achieved with a lower potential difference between the electrodes as compared to similar transducers having a smaller number of windings of a thicker film, i.e. having the same or a similar cross sectional area. This is a great advantage.

The parameters defined above may be optimised according to design rules developed by the inventors. These design rules allow for determining the optimum dimensions of a rolled actuator based on the actuator performance specifications. The design rules may preferably be applied as described below.

The mechanical and electrostatic properties of an electroactive web are used as a basis to estimate actuator force per unit area and stroke. Rolled transducers as described above are made by rolling/spooling very thin electroactive webs, e.g. having a thickness within the micrometers range. A typical transducer of this type can be made of thousands of windings.

When activated, direct/push transducers convert electrical energy into mechanical energy. Part of this energy is stored in the form of potential energy in the transducer material and is available again for use when the capacitor is discharged. The remaining part of mechanical energy is effectively available for actuation. Complete conversion of this remaining part of the mechanical energy into actuation energy is only possible if the transducer structure is reinforced against mechanical instabilities, such as well known buckling due to axial compression. This can be done by reinforcing the cross sectional area of the transducer on one hand and then optimising the length of the transducer according to Euler's theory.

The optimisation process starts by defining the level of force required for a given application. Then based on the actuator force per unit area, it is possible to estimate the necessary cross sectional area to reach that level of force.

Stabilisation of the transducer against any mechanical instability requires reinforcing its cross section by increasing its area moment of inertia of the cross section, I. Low values of I result in less stable structures and high values of I result in very stable structures against buckling. The design parameter for reinforcing the structure is the radius of gyration

$r_{g}\left( {r_{g} = \sqrt{\frac{I}{A}}} \right)$ which relates cross section, A, and area moment of inertia, I. Low values of r_(g) result in less stable transducer structures and high values of r_(g) result in highly stable transducer structures. After having defined optimum ranges for both area, A, and radius of gyration, r_(g), it is possible to define the optimum range for the rolled transducer wall thickness, t, with respect to r_(g) in the form of t/r_(g). Area, A, radius, r_(g), and wall thickness, t, are the design parameters for reinforcing the transducer cross section for maximum stability. Low values of t/r_(g) result in highly stable transducer structures and high values of t/r_(g) result in less stable transducer structures.

Once the ranges of the cross section parameters have been determined, it is necessary to estimate the maximum length, L, of the transducer, for which buckling by axial compression does not occur for the required level of force. Slenderness ratio, λ, as defined above, is the commonly used parameter in relation with Euler's theory. Low values of λ result in highly stable transducer structures and high values of λ result in less stable transducer structures against buckling.

Once all design parameters for the optimum working direct transducer have been determined, it is possible to estimate the total number of windings that are necessary to build the transducer based on the transducer wall thickness, t, and the number of windings per millimeter, n, for a given electroactive web with a specific thickness in the micrometer range.

The rolled capacitor may comprise a centre rod arranged in such a manner that the capacitor is rolled around the centre rod, the centre rod having a modulus of elasticity which is lower than a modulus of elasticity of the dielectric material. According to this embodiment the hollow cavity defined by the tubular member may be filled by the centre rod, or the centre rod may be hollow, i.e. it may have a tubular structure. The centre rod may support the rolled capacitor. However, it is important that the modulus of elasticity of the centre rod is lower than the modulus of elasticity of the dielectric material in order to prevent that the centre rod inhibits the function of the transducer.

Alternatively or additionally, the rolled capacitor may comprise a centre rod arranged in such a manner that the capacitor is rolled around the centre rod, and the centre rod may have an outer surface abutting the rolled capacitor, said outer surface having a friction which allows the rolled capacitor to slide along said outer surface during actuation of the transducer. The centre rod could, in this case, e.g. be a spring. Since the rolled capacitor is allowed to slide along the outer surface of the centre rod, the presence of the centre rod will not inhibit elongation of the transducer along a longitudinal direction defined by the centre rod, and the operation of the transducer will thereby not be inhibited by the presence of the centre rod due to the low friction characteristics of the centre rod.

The rolled capacitor may have an area moment of inertia of the cross section which is at least 50 times an area moment of inertia of the cross section of an un-rolled capacitor, such as at least 75 times, such as at least 100 times. According to the present invention, this increased area moment of inertia is preferably obtained by rolling the capacitor with a sufficient number of windings to achieve the desired area moment of inertia of the rolled structure. Thus, even though the unrolled capacitor is preferably very thin, and therefore must be expected to have a very low area moment of inertia, a desired area moment of inertia of the rolled capacitor can be obtained simply by rolling the capacitor with a sufficient number of windings. The area moment of inertia of the rolled capacitor should preferably be sufficient to prevent buckling of the transducer during normal operation.

Thus, the rolled capacitor may have a number of windings sufficient to achieve an area moment of inertia of the cross section of the rolled capacitor which is at least 50 times an average of an area moment of inertia of the cross section of an un-rolled capacitor, such as at least 75 times, such as at least 100 times.

According to one embodiment, positive and negative electrodes may be arranged on the same surface of the dielectric material in a pattern, and the capacitor may be formed by rolling the dielectric material having the electrodes arranged thereon in such a manner that the rolled capacitor defines layers where, in each layer, a positive electrode is arranged opposite a negative electrode with dielectric material there between. According to this embodiment the capacitor may preferably be manufactured by providing a long film of dielectric material and depositing the electrodes on one surface of the film. The electrodes may, e.g., be arranged in an alternating manner along a longitudinal direction of the long film. The long film may then be rolled in such a manner that a part of the film having a positive electrode positioned thereon will be arranged adjacent to a part of the film belonging to an immediately previous winding and having a negative electrode thereon. Thereby the positive and the negative electrodes will be arranged opposite each other with a part of the dielectric film there between. Accordingly, a capacitor is formed when the film is rolled.

The capacitor may have a capacitance which varies as a function of electrical energy applied to the electrodes. When electrical energy is applied to the electrodes, the electric field arising across the dielectric material will contract the electrodes against each other, thereby deflecting the dielectric material. Since this alters the distance between the electrodes, the capacitance of the capacitor will also vary as a function of electrical energy applied to the electrodes. In this case the transducer functions as an actuator.

Similarly, the capacitor may have a capacitance which varies as a function of mechanical energy applied to the capacitor. When mechanical energy is applied to the capacitor, e.g. by pushing or pulling the capacitor along a specified direction, the result will, due to the compliance of the dielectric material and preferably of the electrodes, be that the distance between the electrodes, as well as the area of the capacitor defined by the electrodes, will be altered. Accordingly, the capacitance of the capacitor changes as a function of the mechanical energy applied to the capacitor. The value of the capacitance may thereby be used as a measure for the applied mechanical energy, and the transducer may therefore, in this case, be used as a sensor.

The electrodes may each have a resistivity which is less than 10⁻⁴ Ω·cm. By providing electrodes having a very low resistivity the total resistance of the electrodes will not become excessive, even if very long electrodes are used. Thereby the response time for the transducer can be maintained at an acceptable level while allowing a large number of windings, and thereby obtaining a large actuation force for a given film thickness and electrical potential between the electrodes. In the prior art, it has not been possible to provide corrugated electrodes with sufficiently low resistivity, mainly because it was necessary to select the material for the prior art electrodes with due consideration to other properties of the material in order to provide the compliance. It is therefore a great advantage of the present invention that it is possible to provide compliant electrodes made from a material with a very low resistivity, because this allows a large actuation force to be obtained while an acceptable response time of the transducer is maintained.

The dielectric material may have a resistivity which is larger than 10¹⁰ Ω·cm in order to prevent electrical current from running across the thickness of the dielectric material, thereby causing damage to the capacitor. Preferably, the resistivity of the dielectric material is much higher than the resistivity of the electrodes.

The electrodes may preferably be made from a metal or an electrically conductive alloy, e.g. from a metal selected from a group consisting of silver, gold and nickel. Alternatively other suitable metals or electrically conductive alloys may be chosen. Since metals and electrically conductive alloys normally have a very low resistivity, the advantages mentioned above are obtained by making the electrodes from a metal or an electrically conductive alloy.

The electrodes may each have a thickness in the range of 0.01 μm to 0.1 μm, such as in the range of 0.02 μm to 0.09 μm, such as in the range of 0.05 μm to 0.07 μm. Thus, the electrodes are preferably applied to the dielectric material in a very thin layer. Accordingly, in the case that a surface of the dielectric material is provided with a corrugated pattern, a thin electrode applied to that surface will tend to follow the corrugated pattern of the surface, and the electrode will therefore also be corrugated. This has been explained above.

The transducer may be arranged in connection with electrical control means to convert between electrical and mechanical energies. The electrical control means is preferably connected to the electrodes. Thereby electrical energy supplied to the electrodes will result in mechanical work being performed by the transducer as described above. Similarly, mechanical energy supplied to the transducer results in an electrical signal being supplied to the electrical control means. This has also been described above. Accordingly, the transducer may be used as an actuator, as a sensor, or as an actuator as well as a sensor. Furthermore, the conversion between electrical and mechanical energy can be performed directly as described above. This is a great advantage.

The transducer may be arranged to create a pressure by the use of electrostatic forces. This pressure is preferably created directly as described above. In this case the transducer may be used as a push actuator.

According to one embodiment, the electrodes may be arranged on first and second surfaces of the dielectric material, the electrodes defining:

-   -   an active portion of the transducer, wherein electrode portions         cover both surfaces of the dielectric material,     -   a first passive portion and a second passive portion, in which         passive portions only one surface of the dielectric material is         covered by one of the electrodes,         wherein the first passive portion is defined by a contact         portion of the electrode on the first surface, and the second         passive portion is defined by a contact portion of the electrode         of the second surface.

The active portion of the transducer has electrode portions on both surfaces of the dielectric material. Therefore the active portion forms a capacitor, and will be deflectable as described above. Accordingly, the active portion is not a suitable choice when a position for electrical contacts to the transducer is to be selected, since a connection in an active area between the relatively flexible material of the transducer and a relatively stiff electrical connection member, e.g. a contact electrode, may lead to fatigue fractures if the transducer is ‘working’ at the contact point.

On the other hand, the passive portions only have the dielectric material covered by an electrode on one surface of the dielectric material, and the passive portions therefore do not function as a capacitor, and they are accordingly not deflectable during operation of the transducer, i.e. the dielectric material is not subjected to electrostatic forces in the passive portions. This makes the passive portions a suitable choice when a position for a contact point is to be selected.

It is therefore an advantage of this embodiment of the invention that passive portions are provided, and that the passive portions are defined by contact portions of the electrodes. Thereby the risk of fatigue fractures is reduced considerably.

The contact portions may form an extension to the electrode portions. This may, e.g., be obtained by displacing the electrode on the first surface of the dielectric material relatively to the electrode on the second surface of the material, thereby forming passive portions at the periphery of the transducer. Alternatively, it may be obtained by providing each of the electrodes with small protrusions of electrode material, the protrusions being arranged spaced apart along a longitudinal axis of the dielectric material, and the protrusions of the first surface of the dielectric material being displaced relatively to the protrusions of the second surface of the dielectric material. In this case the protrusions will define passive portions.

The transducer may comprise a multilayer composite of at least two layers of dielectric material, and a first layer of dielectric material may comprise the first electrode, a second layer of dielectric material may comprise the second electrode, and the layers may be joined in a displaced configuration forming a contact portion on each surface of the multilayer composite. This is similar to the situation described above where the electrode on the first surface of the dielectric material is displaced relatively to the electrode on the second surface of the dielectric material. However, in this case the active and passive portions are formed as a result of a laminating process.

When a transducer comprising contact portions as described above is laminated to form a multilayer composite of a flat or a rolled structure, it may be obtained that passive portions occur at one end or at opposing ends of the multilayer composite. In the case of a tubular transducer the passive portions may be arranged at one end surface, or at opposing end surfaces, and contact portions may therefore advantageously be positioned at one or both of the end surfaces.

At least one electrical connector may be attached to a contact portion on each surface of the dielectric material. The electrical connector may preferably be a standard connector known per se and used for other purposes in the prior art. Thus, the electrical connector may comprise a metal strip, a metal element, a metal coated polymer element and/or an electrically conducting polymer strip. Alternatively, the electrical connector may comprise an electrically conductive adhesive and/or an electrically conductive polymer. In this case the electrically conductive adhesive and/or polymer is preferably applied in liquid form and subsequently allowed to cure to provide a stable connection.

According to a second aspect of the invention, the above and other objects are fulfilled by providing a method of making a capacitive transducer, the method comprising the steps of:

-   -   providing a pair of electrodes,     -   providing a dielectric material arranged between the electrodes,         the electrodes and the dielectric material thereby forming a         capacitor, and     -   arranging the capacitor in such a manner that a transducer is         formed, and in such a manner that electrical energy supplied to         the electrodes can be at least partly converted directly into         mechanical energy for actuation by the transducer.

It should be noted that a skilled person would readily recognise that any feature described in combination with the first aspect of the invention may equally be combined with the second aspect of the invention, and vice versa.

The method according to the second aspect of the invention is very suitable for making a capacitive transducer according to the first aspect of the invention, and the remarks set forth above with reference to the first aspect of the invention are therefore equally applicable here.

The method may further comprise the step of rolling the capacitor around an axially extending axis to form a transducer of an elongated shape extending in the axial direction. According to this embodiment a rolled transducer as described above is obtained, e.g. having a tubular structure.

The step of rolling the capacitor may comprise rolling a number of windings sufficient to achieve an area moment of inertia of the cross section of the rolled capacitor which is at least 50 times an average area moment of inertia of the cross section of an un-rolled capacitor, such as at least 100 times. As described above, the resulting transducer, in this case, is preferably sufficiently ‘stiff’ to avoid buckling of the transducer during normal operation.

The step of providing a dielectric material may comprise the steps of:

-   -   providing a shape defining element having a surface pattern of         raised and depressed surface portions,     -   providing a liquid composition of a dielectric material onto the         surface pattern, and     -   curing the liquid composition to form a film of dielectric         material having a surface with a replicated pattern of raised         and depressed surface portions.

According to this embodiment a surface of the dielectric film is provided with a corrugated pattern. The corrugated pattern is provided directly on the surface during the manufacturing process.

The shape defining element may be a mould or a mould-like object, or it may be any other suitable structure or object capable of replicating a surface pattern onto a film of dielectric material, e.g. a web.

The liquid composition of the dielectric material is provided onto the surface pattern and is subsequently allowed to cure, thereby forming a film of dielectric material. Since the dielectric material cures while it is positioned in the shape defining element, the surface pattern of the shape defining element is replicated onto the surface of the dielectric film facing the shape defining element.

The liquid composition of the dielectric material is provided onto the surface pattern in a manner which is suitable, considering the specific dielectric material used and the desired thickness of the resulting film of dielectric material. According to a preferred embodiment, the liquid composition of dielectric material is coated onto the surface pattern, thereby providing a very thin film of dielectric material. However, the liquid composition may be provided in any suitable process, such as any suitable coating or moulding process, including, but not limited to, die moulding, injection moulding, spray coating, regular painting, etc.

The step of providing a set of electrodes may comprise the step of depositing an electrically conductive layer onto at least a portion of the replicated pattern. According to this embodiment, the electrode deposited onto the replicated pattern will preferably adopt the replicated surface pattern, and a corrugated electrode is thereby provided as described above.

Providing a corrugated electrode as described is very advantageous, because it can be provided without pre-straining the dielectric material. Thereby a high degree of control with respect to the pattern of the corrugated electrode, including a resulting direction of compliance, is obtained. Furthermore, the manufacturing process described above allows for the use of electrode materials with very low resistivity, e.g. metals, and the advantages described above in this regard are thereby obtained. Finally, very thin films of dielectric material with even thinner electrodes applied thereon can be provided. This is very advantageous, since it provides the possibility of producing transducers with a relatively high actuation force and a relatively low response time.

The electrically conductive layer may be deposited on the film in a physical vapour deposition process. Alternatively, any other suitable process may be used, e.g. a spray coating process, using solutions containing electrically conductive particles.

The electrically conductive layer may be deposited onto the film in a thickness of 0.01 μm-0.1 μm, such as in a thickness of 0.02 μm-0.09 μm, such as in a thickness of 0.05 μm-0.07 μm, i.e. the electrically conductive layer is preferably very thin. The thickness may be controlled by quarts crystal micro balance.

Quartz crystal micro balance is a thickness measurement technique that is commonly used in physical vapour deposition. It allows for controlling the thickness of the deposited coating, e.g. a metal coating or similar, with accuracies in the sub-nanometer range.

The electrically conductive layer may be made in a sputtering process, or in an electron beam process, or in any other suitable kind of process.

The film may be treated with a plasma to improve adhesion of the electrically conductive layer, and the treatment may be conducted with a glow discharge which is known to generate mild plasma, and the treatment may be conducted in an argon plasma. In addition, an adhesion promoter may be applied to at least said portion of the film after the step of plasma treating and before the step of depositing the electrically conductive layer thereon. The adhesion promoter may, in this case, be provided by applying a layer of chromium or titanium between the film and the electrically conductive layer. The adhesion promoter may preferably be applied to the film of dielectric material in a physical vapour deposition process. Alternatively, the adhesion promoter may be applied using any other suitable kind of process.

Plasma cleaning is a critical step in the metallization process of elastomer films. It enhances adhesion of the deposited material. However, not any plasma is appropriate for treating the elastomer film, and the plasma should therefore be selected carefully. As mentioned above, argon plasma is preferred. Plasma treatments are known to form thin and very stiff silicate “glassy” layers at the elastomer interface. When an electrically conductive layer is subsequently applied, the result is corrugated electrodes with limited compliance and composites which cannot be stretched very much because of the risk of cracking the stiff electrodes. We have chosen the argon plasma treatment which is not reactive because argon is a noble gas. However, residues of oxygen and other reactive gases in the vacuum deposition chamber combined with the argon plasma, are responsible for a little reactivity. We optimise the pressure of argon in the vacuum chamber and the parameters of the mild glow discharge, as well as the duration of the treatment in such a way that the deposited metal coating adheres very well to the elastomer film. The resulting corrugated electrode is very compliant and the composite can be stretched as much as allowed without damaging the electrode according to the design rules described in previous paragraphs.

BRIEF DESCRIPTION OF THE DRAWINGS

The invention will now be described in further detail with reference to the accompanying drawings in which:

FIGS. 1 a and 1 b illustrate continuous rolls of spooled composites according to embodiments of the invention,

FIG. 1 c is a perspective view of a portion of a composite according to an embodiment of the invention,

FIGS. 2 a-2 f are cross sectional views of a portion of composites according to embodiments of the invention,

FIG. 2 g is an enlarged section of FIGS. 2 a/2 b/2 c/2 d/2 e/2 f,

FIGS. 3 a and 3 b show an electroactive composite being exposed to zero electrical potential difference and being exposed to a high electrical potential difference,

FIGS. 4 a-4 c illustrate the effect of exposing the electroactive composite of FIG. 3 a to a high electrical potential difference as shown in FIG. 3 b,

FIGS. 5 a and 5 b illustrate an example of lamination of composites according to an embodiment of the invention, thereby forming an electroactive multilayer composite,

FIGS. 5 c and 5 d illustrate an electroactive multilayer composite being exposed to zero electrical potential difference and being exposed to a high electrical potential difference,

FIGS. 6 a and 6 b illustrate another example of lamination of composites according to an embodiment of the invention, thereby forming an electroactive multilayer composite,

FIGS. 6 c and 6 d illustrate another electroactive multilayer composite being exposed to zero electrical potential difference and being exposed to a high electrical potential difference,

FIGS. 7-9 illustrate examples of lamination principles of composites according to embodiments of the invention,

FIGS. 10 a and 10 b illustrate examples of rolled electroactive composites,

FIG. 11 a illustrates an example of a portion of a composite according to an embodiment of the invention, the composite being particularly suitable for a composite having a rolled structure,

FIG. 11 b illustrates an example of a portion of a composite according to an embodiment of the invention, the composite being particularly suitable for a composite having a folded structure,

FIGS. 12 a-12 c illustrate a process of making the composite of FIG. 11 and some of the tools needed for the production,

FIG. 13 a illustrates the composite of FIG. 11 a formed as a rolled composite,

FIG. 13 b illustrates the composite of FIG. 11 b formed as a folded composite,

FIGS. 14 a and 14 b illustrate lamination of the composite shown FIG. 11 by folding of the composite,

FIGS. 15 a-15 c are perspective views of direct axially actuating transducers according to embodiments of the invention,

FIGS. 16 a-16 c are graphs illustrating force as a function of stroke in a direct actuating transducer according to an embodiment of the invention,

FIGS. 17 a and 17 b are perspective views of direct radially actuating transducers according to embodiments of the invention,

FIG. 18 a illustrates lamination of a composite to form a flat tubular structure,

FIG. 18 b illustrate the flat tubular structure of FIG. 18 a being pre-strained,

FIGS. 19 a-19 c are perspective views of an actuating transducer having a flat structure,

FIGS. 20 a-20 e illustrate actuating transducers provided with a preload,

FIGS. 21 a and 21 b illustrate two actuating transducers having a flat tubular structure, the transducers being provided with mechanical connection,

FIG. 22 illustrates the principle of space-shifted laminated layers of composites,

FIG. 23 illustrates laminated electroactive multilayer composites provided with electrical contact portions and electrical connectors,

FIGS. 24 and 25 illustrate two examples of electroactive multilayer composites provided with electrical contact portions,

FIGS. 26-29 illustrate examples of transducers provided with electrical contact portions,

FIG. 30 illustrates different electrical connectors,

FIGS. 31-35 illustrate electroactive composites provided with contact electrodes, and

FIGS. 36 a-36 c is a process diagram describing a manufacturing process of a transducer according to an embodiment of the invention.

DETAILED DESCRIPTION OF THE DRAWINGS

FIGS. 1 a and 1 b illustrate continuous rolls of spooled composites 1 according to embodiments of the invention, and FIG. 1 c is a perspective view of a portion of a composite 1. The proportions of the composite are distorted in order to illustrate different elements of the composite 1. The composite 1 comprises a film 2 made of a dielectric material having a surface 3 provided with a pattern of raised and depressed surface portions, thereby forming a designed corrugated profile of the surface 3. An electrically conductive layer 4 has been applied to the surface 3, the electrically conductive material being deposited so that the electrically conductive layer is formed according to the pattern of raised and depressed surface portions. In terms of everyday physical things, the film 2 resembles in some aspects household wrapping film. It has a similar thickness and is comparably pliable and soft. However, it is more elastic than such a film, and has a marked mechanical anisotropy as will be explained in the following.

The dielectric material may be an elastomer or another material having similar characteristics.

Due to the pattern of raised and depressed surface portions, the electrically conductive layer 4 may even out as the film 2 expands, and recover its original shape as the film 2 contracts along the direction defined by arrows 5 without causing damage to the electrically conductive layer 4, this direction thereby defining a direction of compliance. Accordingly, the composite 1 is adapted to form part of a compliant structure capable of withstanding large strains.

As described above, the corrugated surface profile is directly impressed or moulded into the dielectric film 2 before the electrically conductive layer is deposited. The corrugation allows the manufacturing of a compliant composite using electrode materials of high elastic modulii, e.g. metal electrode. This can be obtained without having to apply pre-stretch or pre-strain to the dielectric film 2 while applying the electrically conductive layer 4, and the corrugated profile of the finished composite 1 does not depend on strain in the dielectric film 2, nor on the elasticity or other characteristics of the electrically conductive layer 4. Accordingly, the corrugation profile is replicated over substantially the entire surface 3 of the dielectric film 2 in a consistent manner, and it is possible to control this replication. Furthermore, this approach provides the possibility of using standard replication and reel-to-reel coating, thereby making the process suitable for large-scale production. For instance, the electrically conductive layer 4 may be applied to the surface 3 of the dielectric film 2 using standard commercial physical vapour deposition (PVD) techniques. An advantage of this approach is that the anisotropy is determined by design, and that the actual anisotropy is obtained as a consequence of characteristics of the corrugated profile which is provided on the surface 3 of the dielectric film 2 and the electrically conductive layer 4 which follows the corrugated profile.

The composite 1 shown in FIG. 1 c is designed to have a compliance in the range of the compliance of the dielectric film 2 in the direction defined by arrows 5, and a stiffness in the range of the stiffness of the electrically conductive layer 4 in a direction defined by arrows 6. In FIG. 1 a, the compliance direction is along the length of the composite 1, whereas the compliance direction of FIG. 1 b is across the composite 1. This is indicated by the thin lines across the composite 1 in FIG. 1 a and along the composite 1 in FIG. 1 b, which thin lines represents the pattern of raised and depressed surface portions forming the corrugated profile. The composite 1 may be produced in very long lengths, so called “endless” composites which may be stored as spools as shown in FIGS. 1 a and 1 b. Such semi finished goods may be used for the production of transducers and the like, e.g. actuators.

FIGS. 2 a-2 f illustrate a portion of a sectional view of composites 1 according to embodiments of the invention, with hatchings omitted for the sake of clarity. As indicated by the symmetry line 10 at the bottom of each portion, each portion only shows half a composite 1. Furthermore, an electrically conductive layer 4 may be deposited on the lower surface of the dielectric film 2, which lower surface may also define a corrugated surface, thereby forming an electroactive composite, i.e. at least two electrically conductive layers being separated by a dielectric film. Furthermore, each portion only shows a small portion lengthwise of each composite. For illustration purposes the proportions of FIGS. 2 a-2 g are out of order. FIG. 2 g illustrates an enlarged section of FIGS. 2 a/2 b/2 c/2 d/2 e/2 f. The composite 1 shown in FIGS. 2 a-2 g could, e.g., be the composite 1 of FIG. 1 a. Thus, the composite 1 comprises a dielectric film 2 made of a dielectric material having a surface 3 provided with a pattern of raised and depressed surface portions, thereby forming a corrugated profile of the surface 3. The surface 3 is provided with an electrically conductive layer (shown in FIG. 2 g) forming a directionally compliant composite as described above. As shown in FIGS. 2 a-2 f, the pattern of raised and depressed surface portions may be designed having various shapes.

The corrugated profile may be represented by a series of well defined and periodical sinusoidal-like three dimensional microstructures. Alternatively, the corrugated profile may have a triangular or a square profile. The mechanical compliance factor, Q, of the corrugated electrode is determined by the scaling ratio between the depth d of the corrugation and the thickness h (see FIG. 2 g) of the electrically conductive layer 4, and by the scaling ratio between the depth d of the corrugation and its period P. The most dominating factor is the scaling ratio between the height d of the corrugation and the thickness h of the electrically conductive layer 4. The larger the compliance factor, the more compliant the structure is. It has been found by the inventors of the present invention, that if perfect compliance is assumed, for a scaling ratio between the depth d of the corrugation and its period P, a sinus profile could theoretically elongate approximately 32%, a triangular profile approximately 28% and a square profile approximately 80% compared to the original length. However, in reality this will not be the case since the square profile comprises vertical and horizontal beams, which will result in different compliances, because the vertical beams will bend and thereby generate a very compliant movement in the displacement direction, while the horizontal beams will be much stiffer, since they extent in the displacement direction. It is therefore often desirable to choose the sinus profile.

In the composite 1 shown in FIGS. 2 a-2 f, the corrugated pattern impressed or moulded into the dielectric film 2 can be represented by a series of well defined and periodical sinusoidal-like three dimensional microstructures. The corrugation profile is formed at the upper surface 3 of the film 2 as shown in FIG. 2 a-2 f. As indicated by the symmetry line 10, a second corrugation profile is formed at the lower surface (not shown) of the film. In FIGS. 2 a-2 f, the section runs along the direction of compliance. Perpendicularly to the direction of compliance parallel straight lines represent tops and bottoms of the raised and depressed surface portions, i.e. wave crests or troughs of the sinusoidal-like microstructure. This appears more clearly from FIG. 1 a and 1 c. Along these parallel straight lines, the compliancy is very low, i.e. for all practical purposes the composite 1 is not compliant in this direction. In other words, this design represents a one dimensional corrugation which, upon application of the electrically conductive layers, transforms the dielectric film 2 into an electrocative composite 1 with anisotropic compliance, wherein the film is free to contract or elongate, while a perpendicularly arranged cross-plane direction is ‘frozen’ due to the built-in boundary conditions given by the mechanical resistance of the electrically conductive layers 4.

In FIGS. 2 a-2 g, d denotes an average or representative corrugation depth, i.e. an average or representative distance between a raised portion and a neighbouring depressed portion of the pattern. H denotes an average thickness of the dielectric film 2, and h denotes an average thickness of the electrically conductive layer 4. In a preferred embodiment, the average thickness H of the dielectric film 2 is in the range of 10 μm-100 μm. FIGS. 2 a-2 c show composites 1 having different corrugation depth d, whereas the corrugation period P is substantially identical for the three composites shown. Comparing the composites 1 of FIGS. 2 d and 2 e, the corrugation depth d is substantially identical, whereas the corrugation period P of the composite 1 in FIG. 2 e is larger than the corrugation period P of the composite 1 shown in FIG. 2 d. Compared hereto, the composite 1 of FIG. 2 f has a smaller corrugation depth d and a larger corrugation period P.

The properties of the dielectric films 2 with anisotropic corrugated compliant metallic electrodes in the form of electrically conductive layers 4 as described in accordance with the present invention are optimised by design according to design rules developed by the inventors. These design rules take into consideration the dielectric and mechanical properties of the dielectric material and of the material of the electrically conductive layer.

The relative permittivity and breakdown field of the dielectric material on the one hand and electrical potential difference between electrodes on the other hand are the design parameters that determine the range of the average thickness, H of the dielectric film 2. The characteristic properties of the dielectric material are typically supplied by dielectric material manufacturers like Wacker-Chemie and Dow Corning.

Corrugation depth, d, is optimised with respect to the dielectric film thickness, H, in order to obtain a relatively uniform electric field distribution across the dielectric film situated between the electrodes. Such optimisation step is done using finite element simulations. A high d/H ratio corresponds to a non uniform electric field distribution and a low d/H ratio corresponds to a relatively uniform electric field distribution.

Anisotropy and compliance properties are the combined result of the shape and topology given to the surface of the dielectric film, e.g. an elastomer film, by a moulding process on one hand and the electrically conductive layer that takes up the corrugation shape on the other hand. Electrode layer thickness, h, and corrugation period, P, are optimised with respect to the corrugation depth, d, in order to obtain a dielectric film with metallic electrodes that is compliant in one ‘in the plane’ direction and almost not compliant in the transverse ‘in the plane’ direction. A film that is very compliant in one direction is a film that can be stretched or elongated very much in this direction by applying a relatively low level of forces in this direction without the risk of damaging the electrodes, and a film that will have very limited elongation in the transverse direction when a force is applied in this transverse direction. In order to optimise electrode compliance, the d/P and h/d ratios have to be optimized. High d/P ratios result in very compliant electrodes and low d/P ratios result in less compliant electrodes. High h/d ratios result in less compliant electrodes and low h/d ratios result in very compliant electrodes. The degree of anisotropy of the dielectric film with corrugated electrodes is determined by the compliance ratio between the direction in which the composite is compliant and the transverse direction in which the composite is almost not compliant. High compliance ratios result in very anisotropic structures and low ratios result in isotropic-like structures.

Once the ranges for the design parameters (H, d, h and P) are specified according to the above description, it is possible to predict the performance of the dielectric film with metallic electrodes in the form of electrically conductive layers in terms of how compliant and what maximum elongation in the compliant direction it can undergo and what the actuation forces will be. Stiffness in the transverse direction can be predicted as well. A refinement process for these parameters can be done if necessary.

It should be noted that for a given actuation force, actuators manufactured in accordance with the present invention, i.e. made from a dielectric material with electrodes deposited thereon, has a much lower weight, i.e. at least a factor five smaller, than conventional actuators, such as magnetic actuators, capable of providing a comparable actuation force. This is very important for applications where actuator volume and weight are of relevance.

Once all design parameters are optimised, a mould is designed according to the exact specifications for the corrugation topology.

Based on finite element electrostatic simulations, the inventors of the present invention have found that the ratio d/H should be in the range of 1/30-1/2. For example, having a ratio of 1/5 and a corrugation depth of approximately 4 μm, the thickness of the dielectric film 2 will be approximately 20 μm. Furthermore, the ratio between the corrugation depth d and the period P of the corrugations, d/P, and the ratio between the thickness h of the electrically conductive layer and the corrugation depth d, h/d, are important ratios directly affecting the compliance of the electrode. In preferred embodiments, the ratio d/P is in the range of 1/50-2, whereas the ratio h/d is in the range of 1/1000-1/50.

Another issue to take into consideration when defining the average thickness H of the dielectric film 2 is the so-called breakdown electric field related to dielectric materials. When an electrically conductive layer 4 is deposited on each surface of the dielectric film 2 thereby forming an electroactive composite, there is a maximum value for the voltage, V between these electrically conductive layers, for a given material thickness, H, i.e. a distance corresponding to the thickness, H, of the dielectric film 2, in order not to exceed the breakdown electric field, V/H, of the material. When the dielectric film 2 presents large variations in thickness across a surface area 3, then, for a given voltage between the electrically conductive layers, electric field and thickness variations will be of the same order of magnitude. As a consequence, parts of the dielectric film 2 having a higher local electric field will elongate more than those with a smaller local electric field. Furthermore, in situations where a transducer in which the composite 1 is operated close to a breakdown field, such variations may be damaging to the transducer, because parts of the dielectric film 2 will be subjected to electric fields which are larger than the breakdown field. Accordingly, it is very important to reduce the average thickness variations to the greatest possible extent when processing the dielectric film 2. For processing reasons a 10% average thickness variation is considered acceptable. When processing transducers with corrugated electrodes by design, i.e. in accordance with the present invention, these values can be controlled in a relatively accurate manner.

FIGS. 3 a and 3 b illustrate an electroactive composite 1 comprising two electrically conductive layers 4 separated by a dielectric film 2 being exposed to zero electrical potential difference (FIG. 3 a) and being exposed to a high electrical potential difference (FIG. 3 b). As illustrated in FIG. 3 b the dielectric film 2 is expanded, while the electrically conductive layers 4 are evened out, when exposed to an electrical potential difference. This is shown in detail in FIGS. 4 a-4 c which illustrate portions of a section of the electroactive composite 1 at different steps in time, with hatchings omitted for the sake of clarity. A line of symmetry 10 is indicated at the bottom of each figure, illustrating that the composite 1 is an electroactive composite having an electrically conductive layer 4 deposited on each surface. FIG. 4 a illustrate the electroactive composite 1 being exposed to zero electrical potential difference, the corrugation depth being the designed depth d and the corrugation period being the designed period P. In FIG. 4 b it is illustrated that the dielectric film 2 is expanded in the compliance direction resulting in a reduced thickness H′ of the film. Furthermore, the electrically conductive layer 4 is evened out resulting in a smaller corrugation depth d′ and a larger corrugation period P′. FIG. 4 c illustrate the electroactive composite 1 at a later time step, the thickness H″ of the film 2 being even more reduced, the corrugation depth d″ being even smaller and the corrugation period P″ being larger.

It should be noted that capacitors produced in accordance with the present invention exhibit a ‘self-healing’ mechanism. A self-healing mechanism is characteristic of capacitors with very thin electrodes. It occurs when the dielectric material of the capacitor presents defects such as inclusions, pinholes, etc. For such a capacitor with a given thickness, when the applied potential difference between electrodes approaches the so-called breakdown voltage defined above, the average electric field approaches the critical breakdown field. However, in regions with defects, it will indeed exceed this critical breakdown field, and a cascading effect due to accelerated and colliding charges across dielectric film thickness at the positions of the defects occurs, thereby inducing a high in-rush transient current across the dielectric material. This results in a local transient over-heating with characteristic times in the microseconds range or much below, which is enough to “deplete/evaporate” the material of the very thin opposite electrodes at the positions of the defects and their close vicinity. This results in areas around defects where there is no more electrode material. Moreover the dimension of the areas with depleted electrode material increases with the local field. However, the capacitor as such is not damaged and continues to operate. Thus, the reference to ‘self-healing’. As long as the depleted areas represent in total a very negligible fraction of the entire area of the capacitor, this will have very little consequence on the performance of the capacitor. Self-healing does not take place if the capacitor is made with thick electrodes, because the level of local over-heating is not sufficient to deplete the thick electrode material at the defects. In that case, when the critical breakdown is reached, consequent and instant damage of the capacitor occurs. In practice, the inventors of the present invention have made metallic electrodes with thickness up to 0.2 μm and always observed self-healing, even when operating the capacitor above breakdown. This does not cause any substantial damage to the capacitor, and the capacitor therefore continues to operate.

FIGS. 5-9 illustrate examples of lamination of composites 1 thereby creating multilayer composites. As shown in FIGS. 5 a and 6 a, an electroactive multilayer composite 15, 16 comprises at least two composites 1, each composite 1 comprising a dielectric film 2 having a front surface 20 and a rear surface 21, the rear surface 21 being opposite to the front surface 20. The front surface 20 comprises a surface pattern 3 of raised and depressed portions and a first electrically conductive layer (not shown) covering at least a portion of the surface portion 3. FIGS. 5 a and 6 a only show a portion of a multilayer composite 15 and 16, which portions having proportions out of order for illustration purposes.

FIGS. 5 a and 5 b show an electroactive multilayer composite 15 having the first composite 1 arranged with its front surface 20 facing the rear surface 21 of the adjacent composite 1, in the following referred to in general as a Front-to-Back multilayer composite 15. In this type of lamination process, the electrically conductive layer of the first composite 1 is in direct contact with the rear surface of the second composite 1. The composites 1 are laminated either by the use of an elastomer of the same type as used for producing the dielectric film 2 or alternatively, the two composites 1 are stacked without use of an adhesive. For some purposes it is preferred that the multilayer composite is made of stacked composites without the use of an adhesive. In these cases, the wave troughs are simply filled with air.

Due to the pattern of raised and depressed surface portions 3, the electrically conductive layer of each of the composites may even out as the film expands, and recover its original shape as the film contracts along the direction defined by arrows 5 (see FIG. 5 b) without causing damage to the electrically conductive layers, this direction thereby defining a direction of compliance. Thus, the multilayer composite 15 shown in FIG. 5 b is designed to be very compliant in the direction defined by arrows 5 and designed to be very stiff in the transverse direction defined by arrows 6.

FIGS. 5 c and 5 d illustrate the electroactive multilayer composite 15 being exposed to zero electrical potential difference and being exposed to a high electrical potential difference. As can be seen from FIG. 5 d the dielectric film is expanded, while the electrically conductive layers are evened out, when exposed to an electrical potential difference. It can further be seen that the depth of the wave troughs (the corrugation depth d) is reduced when the multilayer composite is exposed to an electrical potential difference. The composites can be bonded by applying a high electrical potential difference to the stacked composites, whereby the film of one composite and the electrically conductive layer of an adjacent composite adhere to each other without the use of an additional adhesive. Thus, they may be brought into intimate contact by electrostatic forces. Alternatively, they may adhere to each other by pressing them together, e.g. by the use of rollers, due to the characteristics of the dielectric film which may be slightly tacky when made of an elastomer.

As an alternative hereto, FIGS. 6 a and 6 b show an electroactive multilayer composite 16 having the first composite 1 arranged with its rear surface 21 facing the rear surface 21 of the adjacent composite 1, in the following referred to in general as a Back-to-Back multilayer composite 16. The composites 1 are adhesively bonded either by the use of an elastomer adhesive with characteristics similar to the dielectric film 2 of the composites 1. Alternatively, the two composites 1 are stacked without use of an adhesive.

In the electroactive multilayer composite 16 illustrated in FIG. 6 a, the corrugated surfaces 3 can be coated with the electrically conductive layer before or after laminating the composites 1. The Back-to-Back multilayer composite 16 has the advantage that the impact of defects in the dielectric film 2, pin-holes in the electrically conductive layer etc. may become less critical if the adjacent layer does not have similar errors in close vicinity.

If the individual composites 1 are made in identical production steps, there may be an increased risk that identical errors exist on the same location of each composite 1. To reduce the impact of such errors, it may be an advantage to shift the location of one composite 1 relative to an adjacent composite 1, or to rotate the composites 1 relative to each other.

The lamination process represents a critical step in the production process. Thus, precise lamination machines equipped with tension control are to be used.

Similar to the multilayer composite 15 the multilayer composite 16 shown in FIG. 6 b is designed to be very compliant in the direction defined by arrows 5 and designed to be very stiff in the transverse direction defined by arrows 6.

FIGS. 6 c and 6 d illustrate the electroactive multilayer composite 16 being exposed to zero electrical potential difference and being exposed to a high electrical potential difference. As can be seen from FIG. 6 d the dielectric film is expanded, while the electrically conductive layers are evened out, when exposed to an electrical potential difference.

FIG. 7 a illustrates that an electroactive multilayer composite 15 of the kind illustrated in FIG. 5 a may further contain an endless number of composites 1 depending on the specific need. The multilayer composite in FIG. 5 a contains one dielectric film 2 out of two dielectric films 2 which is inactive, i.e. only one of the two dielectric films 2 is located between two electrically conductive layers (not shown). FIG. 7 a illustrates that a larger number of composites decreases the impact of the inactive layers on the electroactive multilayer composite 15 as such, since all but the lowermost composite 15 are located between electrodes.

FIG. 7 b illustrates an alternative way of forming an electroactive multilayer structure 15 containing an endless number of composites 1. The composites 1 have been laminated by means of adhesive layers 22 arranged between the composites 1 in such a manner that the composites 1 are not in direct contact with each other. The material of the adhesive layers 22 has properties similar to those of the dielectric material of the composites 1, in terms of ability to stretch. This is in order to allow the adhesive layers 22 to stretch along with the dielectric material when the multilayer structure 15 is working. Thus, the adhesive layers 22 may advantageously be made from an elastomer, or from a material with elastomer-like properties.

In FIG. 8, two electroactive multilayer composite 16 of the kind also shown in FIG. 6 a, i.e. Back-to-Back composites, are stacked on top of each other. In this electroactive multilayer composite, the electrically conductive layers are pair-wise in contact with each other. Two dielectric films 2 are located between two of such sets of two electrically conductive layers. The laminate offers a reduced impact of production defects in the individual layers. Furthermore, it is illustrated that a third or even further electroactive multilayer composite(s) 16 may be added to this multilayer composite.

FIG. 9 illustrates a stack of multilayer composites 16 similar to the stack shown in FIG. 8. However, in the situation illustrated in FIG. 9, the Back-to-Back multilayer composites 16 are stacked pair-wise, and the pair-wise stacked multilayer composites 16 are then stacked together. In the stack illustrated in FIG. 9 it is ensured that the electrically conductive layers of adjacent pair-wise stacks facing each other has the same polarity. Accordingly, such a stack can be rolled without risking short-circuiting of the electrodes, and the stack is therefore suitable for being rolled, e.g. to form a tubular transducer.

FIG. 10 a illustrates a Front-to-Back electroactive multilayer composite 15 as shown in FIG. 5 a being rolled. Since the composite 1 may be produced in very long lengths, so called “endless” composites, the multilayer composite 15 may also be produced in very long lengths, thereby allowing for the producing for rolled multilayer composites comprising numerous windings.

FIG. 10 b illustrates rolling of a multilayer composite 15 around rods 23. The rods 23 are positioned at an end of the multilayer composite 15, and the composite 15 is then rolled around the rods 23 as indicated. Thereby the multilayer composite 15 obtains a rolled tubular shape.

FIGS. 11 a and 11 b show a portion of a composite 24 which is suitable for forming a rolled or otherwise laminated transducer. The composite 24 comprises a film 2 made of a dielectric material having a surface provided with a pattern of raised and depressed surface portions, thereby forming a designed corrugated profile of the surface, i.e. the film 2 is similar to the film 2 of the composite 1 of FIG. 1 c. In this case the film 2 is provided with an electrically conductive layer comprising negative electrode portions 25 and positive electrode portions 26 arranged in an interleaved pattern, i.e. the negative electrode portions 25 and the positive electrode portions 26 appear alternating with a gap in between. In the gap an electrically conductive layer is not deposited on the dielectric film. The arrow 27 indicates that the composite 24 may be a very long, an “endless”, composite as shown in FIG. 13 a, and as a folded composite as shown in FIG. 13 b.

FIGS. 12 a-12 c illustrate one possible method of making the composite 24 of FIG. 11. FIG. 12 a illustrates the film 2 being a very long film on two rolls 30. The electrically conductive layer (not shown) is deposited on the film 2 using a non-continuous vapour deposition roll to roll method. The arrows 31 indicate the process direction. The electrically conductive layer is deposited through a shadow mask 32 in order to provide gaps in between the electrode portions 25, 26. When the electrically conductive layer is deposited on an area of the film 2, the film 2 is rolled in the direction of the arrows 31 and stopped. A shutter (not shown) is opened and the electrically conductive layer is deposited on the next area of the film 2, this area being adjacent to the previous area, and ensuring a continuous transition contact between electrodes with the same polarity. The shutter is closed when the required thickness of the electrically conductive layer is achieved. The electrode deposition principle where electrodes are deposited through a shadow mask is, for practical reasons, more appropriate for production of electrodes with constant width and gap. As an alternative, the gap may be made by means of laser ablation. In fact, it is preferred to make the gap by means of laser ablation, since when using such a technique it is very easy to provide a variable distance between each gap and thus a variable width of each portion of the electrically conductive layer. This will be explained in further detail below.

FIG. 13 a illustrates the composite 24 a of FIG. 11 a and FIGS. 12 a-12 b formed as a rolled composite 35. D and R denote diameter and radius of a roll 36 onto which the composite 24 is rolled. The solid lines denote positive electrodes while the dotted lines denote negative electrodes. It should be noted that for the sake of clarity, the rolled composite is shown by means of concentric circles. However, it should be understood that in reality the rolled composite forms a spiral pattern. The width, w, of the electrode portions 25 and 26 and the width of the gap between these electrode portions are determined based on the cross section of the roll 36 as follows: 2π(R)=w+gap, where the gap is very small as compared to w. Furthermore, it is preferred that the thickness t of the composite 24 a is smaller than the gap. Otherwise, the efficiency of the transducer which is formed by this roll process becomes low. When a winding n is made by rolling the composite 24 a, the gap is tangentially shifted by a film thickness order, 2πt·n with respect to the previous winding. Thus if the gap shift exceeds the gap width, electrodes with same polarity will tend to overlap, and this renders the corresponding portions of the capacitor inactive. This method is preferred for building actuators with limited number of windings and operating in a pre-strained configuration or flat tubular actuator configurations where electrode portions and gaps are deposited in the portions of dielectric web that correspond to flat portions of the flat tubular actuator. An alternative method where laser ablation is used to design the electrodes with variable width but constant gap width is more appropriate for the rolled tubular actuator. In this case, the width of the gap and depleted regions is determined by the traveling laser spot size, and the width of a given electrode associated to a given winding of the growing circumference of the actuator is such that width and gap match the winding circumference.

Similarly, FIG. 13 b illustrates the composite 24 b of FIG. 11 b as a folded composite 37. It is clear from FIG. 13 b that the composite 24 b is folded carefully in such a manner that it is ensured that electrodes 25, 26 of opposite polarity do not come into direct contact.

FIGS. 14 a and 14 b illustrate lamination of the composite shown FIG. 11 by folding of the composite 24. Alternatively, the composite could be of the kind shown in FIGS. 1 a and 2. The composite 1, 24 is manufactured in a long structure, thereby defining a length and a width of the composite 1, 24, and has a surface 3 with a pattern of raised and depressed surface portions. The pattern defines waves of crests and troughs, extending in a common direction, and the common direction is arranged substantially along the width of the long structure. Accordingly, the composite 1, 24 is compliant in a direction perpendicular to the common direction, i.e. along the length of the long structure.

The composite 1, 24 of FIG. 14 a is laminated by folding the long structure along the length, i.e. in such a manner that the width of the resulting electroactive multilayer composite 40 is identical to the width of the composite 1, 24. Due to the orientation of the compliant direction of the composite 1, 24 the electroactive multilayer composite 40 will be compliant in a direction indicated by arrows 41.

FIG. 14 b illustrates lamination of a composite 1, 24 according to another embodiment of the invention. This is very similar to the embodiment shown in FIG. 14 a. However, in this case the common direction is arranged substantially along the length of the long structure, and the composite 1, 24 is therefore compliant in a direction along the width of the long structure, as the composite of FIG. 1 b. Accordingly, the resulting electroactive laminate 42 will be compliant in a direction indicated by arrows 43.

Thus, the laminated composite shown in FIG. 14 a is compliant along the length of the laminated composite. This means that the structure of FIG. 14 a can be made to be of any length, and thus of any desired stroke length. Similarly, the laminated composite of FIG. 14 b is compliant along the width of the laminated composite. This means that the structure of FIG. 14 b can be made to be of any width. Thus, it is possible to design a transducer with any appropriate dimensions in accordance with geometrical requirements of the intended application.

FIGS. 15 a-15 c are perspective views of direct actuating transducers 50 according to embodiments of the invention. The direct actuating transducer 50 of FIGS. 15 a-15 c have been manufactured by rolling a multilayer composite, e.g. of the kind shown in FIG. 1 a or in FIG. 5. The transducer 50 a of FIG. 15 a is solid, whereas the transducer 50 b of FIG. 15 b is hollow. The transducers 50 may have any elongated form, e.g. substantially cylindrical with a cross section which is substantially circular, elliptical or curve formed as illustrated in FIG. 15 c.

In FIGS. 15 a-15 c the composite, which has been rolled to form the columnar shaped transducers 50, has a direction of compliance which is parallel to the directions indicated by arrows 51. Accordingly, when electrical energy is applied to the electrodes of the direct actuating transducers 50, the transducers 50 will elongate axially in the direction of the arrows 51. It has now been found that if the transducers 50 are properly made and dimensioned in accordance with certain aspects of the invention, they are able to exert significant force against an axial load which tends to resist the axial elongation.

As indicated earlier in this specification, the electroactive composite of the present invention is quite supple and pliable, resembling ordinary household cling film or polyethylene shopping bag sheet material in pliability. The composite differs from those materials by its higher elasticity and its mechanical anisotropy, as previously explained, being very stretchy in one direction and much less stretchy in the perpendicular direction.

The inventors now have realised that despite of the suppleness, pliability and elasticity of the composite, a roll formed by winding up a sufficient length of the composite will be quite stiff. If the roll is properly wound with respect to the mechanical anisotropy of the film, it will have axial compliance brought about by the mechanical anisotropy, and yet it can be quite resistant to buckling under axial load.

Accordingly, a composite of corrugated anisotropic dielectric film layers with electrically conductive electrode layers can be rolled into a tubular shape with a number of windings sufficient to make the resulting structure of the tubular element sufficiently stiff to avoid buckling. In the present context, the term ‘buckling’ means a situation where an elongated structure deforms by bending due to an applied axial load. It has been found that no additional component such as any stiffening rod or spring inside the elongated structure is necessary to obtain sufficient stiffness to avoid buckling under technically useful levels of axial load. The required stiffness is obtained merely by winding up a sufficient number of windings of the composite material.

The rolled structures illustrated in FIGS. 15 a-15 c are designed to withstand a specified maximum level of load at which the stiffness is sufficient to avoid buckling. This specified maximum level may, e.g., be a certain level of force at a certain level of elongation, or it may be a maximum level of actuation force, a blocking force, or a higher level of force occurring when the transducer is compressed to a shorter length against the direction of the arrows 51.

Design parameters for the direct actuating transducer as described in the present application are optimised according to design rules developed by the inventors. These design rules allow for determining the optimum dimensions of a rolled actuator (transducer) based on the actuator performance specifications.

The mechanical and electrostatic properties of an electroactive composite are used as a basis to estimate actuator force per unit area and stroke. Rolled actuators as described in accordance with the present invention are made by rolling/spooling very thin electro-active composites, e.g. as shown in FIGS. 1 a and 1 b, having a thickness in the micrometers range. A typical actuator of this type can be made of thousands of windings and can contain as many as 100 windings per millimeter of actuator wall thickness.

When activated, direct/push actuators convert electrical energy into mechanical energy. Part of this energy is stored in the form of potential energy in the actuator material and is available again for use when the actuator is discharged. The remaining part of mechanical energy is effectively available for actuation. Complete conversion of this remaining part of the mechanical energy into actuation energy is only possible if the actuator structure is not mechanically unstable, like the well-known buckling mode of failure due to axial compression. This can be achieved by properly dimensioning the cross-sectional area of the actuator in relation to actuator length. Mathematically this corresponds to Euler's theory of column stability; in accordance with the invention, this theory also applies to an actuator column formed by rolling up a sufficient number of windings of electroactive multilayer composite.

The optimisation process starts by defining the level of force required for a given application. Then based on the actuator force per unit area, it is possible to estimate the necessary cross sectional area to reach that level of force.

For a cylindrical structure, the critical axial load or force F_(c) for a given ratio between length and radius of the cylinder is given by:

${F_{C} = \frac{c \cdot \pi^{2} \cdot E \cdot A}{\left( {L/R} \right)^{2}}},$ where

c is a boundary condition dependent constant,

E is the modulus of elasticity,

A is the cross sectional area of the cylinder,

L is the length of the cylinder, and

R is the radius of the cylinder.

Consider now an electro-active polymer transducer of cylindrical shape which is actuated by applying a voltage, V, to its electrodes. In the unloaded state, the transducer will simply elongate. If restrained by an axial load, the transducer will exert a force upon the load which increases with the voltage, V. The maximum force, F_(max), which the transducer can be actuated to depends on the construction of the transducer.

For a given length L and cross section A, this means that the voltage needs to be controlled in such a manner that forces higher than F_(max)<F_(C) are not allowed. For a given cross section, this means that the length of the cylinder must be smaller than a critical length, L_(C), i.e. L<L_(C), with L_(C) defined as follows.

For a transducer 50 with a given cross section and a chosen maximum force level, the maximum force level being related to the maximum voltage level, the critical length, L_(C), can be derived from the formula:

${L_{C} \leq \sqrt{\frac{c \cdot r^{2} \cdot \pi^{2} \cdot E}{F_{\max}/A}}},$ and the design criteria is L<L_(C).

For a selected voltage level a transducer 50 with a given cross section is able to actuate with a given maximum force, the so-called blocking force, F_(bl), at 0% elongation. In this situation the design criterion is:

$L_{C} \leq {\sqrt{\frac{c \cdot r^{2} \cdot \pi^{2} \cdot E}{F_{bl}/A}}.}$

Applying these design criteria for a transducer 50 made of an elastomer with E=1 MPa, F_(bl)/A=20 N/cm² and c=2, the design rule for F_(max)=F_(bl), will be L_(bl)=10·r, i.e. the so-called slenderness ratio, λ, must fulfil the following condition in order to obtain a non-buckling structure at the load being equal to the blocking force: λ≦L/r=10.

For alternatively chosen lower levels for the actuating force for the same transducer 50, i.e. for a cylindrically symmetric transducer 50 with the same radius, r, the design criteria for length L can be derived from the following formula: L≦L _(bl)·√{square root over (F _(bl) /F)}.

This may, e.g., mean that if the actuation level at 10% elongation is ¼·F_(bl), then the length, L, of that transducer at 10% elongation is:

${L \leq {L_{bl} \cdot \sqrt{1/\frac{1}{4}}}} = {L_{bl} \cdot 2.}$

The theory of Euler can be applied to designing a transducer 50 with a specific need for transducer stroke and a chosen percentage of elongation of the dielectric film. Since there is no limitation to increase in cross sectional area, A, of the cylindrical symmetric transducer 50 a and 50 b due to an increased number of windings, and because the design rules derived from the theory of Euler are fulfilled, it is possible to simply provide the necessary number of windings to obtain a required level of actuation force. Accordingly, the technology described above makes it possible to build dielectric transducers having non-buckling characteristics at a given force level and a given stroke for direct actuation.

When designing a direct acting capacitive transducer, it is necessary to dimension its mechanical structure against buckling. This is done typically by increasing the area moment of inertia of its cross section, known as I. As an example, a piece of paper with a given thickness (h), width (w) and length (L) will bend when a little force is applied to the paper in a direction parallel to its length. However, by rolling it in the width direction, a much larger force will be necessary to make it buckle. Rolled-to-flat bending stiffness ratio is then given by

$\frac{3}{2} \cdot {\left( {1 + \left( \frac{w}{h/\pi} \right)^{2}} \right).}$ An example of such is to take w=40 mm and h=1 mm, then the ratio is about 245.

Stabilisation of the actuator against any mechanical instability requires dimensioning its cross section by increasing its area moment of inertia of the cross section I. Low values of I result in less stable structures and high values of I result in very stable structures against buckling. The design parameter for dimensioning the structure is the radius of gyration r_(g) which relates cross section A and area moment I. Low values of r_(g) result in less stable actuator structures and high values of r_(g) result in very stable actuator structures. After having defined optimum ranges for both area A and radius of gyration r_(g), it is possible to define the optimum range for the rolled actuator wall thickness, t, with respect to r_(g) in the form of t/r_(g). Area A, radius r_(g) and wall thickness t are the design parameters for dimensioning the actuator cross-section for maximum stability. Low values of t/r_(g) result in very stable actuator structures and high values of t/r_(g) result in less stable actuator structures.

Once the ranges of the cross section parameters have been determined, it is necessary to estimate the maximum length L of the actuator for which buckling by axial compression does not occur for the required level of force. Slenderness ratio defined as the length L to radius of gyration r_(g) ratio is the commonly used parameter in relation with Euler's theory. Low values of L/r_(g) result in very stable actuator structures and high values of L/r_(g) result in less stable actuator structures against buckling.

Once all design parameters for the optimum working direct actuator have been determined, it is possible to estimate the total number of windings that are necessary to build the actuator based on the actuator wall thickness t and the number of windings per millimeter n for a given electro-active composite with a specific thickness in the micrometer range.

In a preferred embodiment, the ratio between the number n of windings and the wall thickness t of the transducer, n/t, should be in the range of 10 windings/mm-50 windings/mm. Furthermore, the slenderness ratio, being the ratio between the length L of the transducer and the gyration radius r_(g) of the transducer should be less than 20. The gyration radius r_(g) is defined as r_(g)=√{square root over (I/A)}, where I is the area moment of a cross section and A is the cross sectional area of the transducer.

Thus, by carefully designing transducers in accordance with the present invention, it is possible to obtain large actuation forces, even though a very soft dielectric material is used. Actuation forces may even reach levels comparable to conventional transducers made from harder materials, e.g. magnetic transducers. This is a great advantage.

FIG. 16 a is a graph illustrating force as a function of stroke in a direct actuating transducer according to an embodiment of the invention. When voltage is applied to the anisotropic compliant electrically conductive layers of the transducer, electric field induced compression across film thickness is converted into elongation/stroke along the compliant direction of the transducer. The corresponding stress is referred to as Maxwell stress, P, and the corresponding actuation force is referred to as electrostatic force F_(electrostatic). Upon elongation, the dielectric material exerts a counterforce F_(elastomer) which increases with transducer stroke as shown in FIG. 16 a.

Consequently, the effective force available for direct actuation F_(act) is a result of the two described forces, and F_(act)=F_(electrostatic)−F_(elastomer), as shown in FIG. 16 b. The characteristic curve representing force versus stroke of the direct actuating transducer is typical for force transducers, where actuation force decreases as a function of increasing stroke, until a maximum value of the stroke is reached corresponding to “zero” actuation force as depicted in FIG. 16 b.

FIG. 16 c illustrates the range of calculated direct actuation forces as a function of transducer stroke for different outer diameters of a direct acting capacitive transducer, a rolled transducer. Large actuation forces in the range of hundreds to thousands of Newtons can be generated. Blocking forces are typically 4 orders of magnitude larger than nominal actuations forces defined at 10% transducer stroke. A direct acting capacitive transducer made of a 40 micrometer thick dielectric material with elastic modulus in the range of 0.5-1 MPa will generate a force per unit area in the range of 0.1-0.2 N/mm², for a typical actuation voltage of 3000 volts. When considering large transducer cross sections, this corresponds to large actuation forces as shown in FIG. 16 c.

FIGS. 17 a and 17 b are perspective views of direct actuating transducers 52 according to alternative embodiments of the invention. The transducers 52 of FIGS. 17 a and 17 b have a direction of compliance along the tangent of the cylinder. Accordingly, the elongation of the transducers 52 takes place on a perimeter of the tubular structure, illustrated by the arrows 53, i.e. the transducer 52 is caused to expand and contract in a radial direction.

FIG. 18 a illustrates lamination of a composite 1 to form a flat tubular structure 60. The composite 1 may advantageously be of the kind shown in FIGS. 1 a and 2. The transducer 60 is a laminate of a sufficiently high number of adhesively bonded composites to ensure a rigidity of the transducer, which rigidity is sufficient to enable that the transducer can work as an actuator without being pre-strained. The transducer 60 is manufactured by winding a continuous composite, e.g. of the kind shown in FIGS. 1 a and 2, in a very flat tubular structure. Using this design the limitations regarding number of layers described above are eliminated. Thereby, the transducer 60 can be made as powerful as necessary, similarly to what is described above with reference to FIGS. 15 a-15 c.

The flat tubular structure of the transducer 60 shown in FIG. 18 a is obtained by rolling the composite 1 around two spaced apart rods 61 to form a coiled pattern of composite 1. Due to the orientation of the compliant direction of the composite 1, the flat tubular structure 60 will be compliant in a direction indicated by arrows 62. FIG. 18 b illustrate the transducer of FIG. 18 a being pre-strained by two springs 63.

FIGS. 19 a-19 c are perspective views of transducers 70 having a flat structure. The transducer 70 is a multilayer composite of a sufficiently high number of adhesively bonded composites to ensure a rigidity of the transducer, which rigidity is sufficient to enable that the transducer can work as an actuator without being pre-strained. The transducer 70 is manufactured by laminating a continuous composite, e.g. of the kind shown in FIGS. 1 a and 2, in a flat structure. Using this design the limitations regarding number of layers described above are eliminated. Thereby, the transducer 70 can be made as powerful as necessary, similarly to what is described above with reference to FIGS. 15 a-15 c. The transducer 70 a is a multilayer composite of a sufficiently high number of adhesively bonded composites to ensure a rigidity of the transducer, which rigidity is sufficient to enable that the transducer can work as an actuator without being pre-strained. The transducer 70 b is dimensioned by stacking a number of transducers 70 a. As an alternative hereto, the transducer 70 c may be pre-strained by a spring 71 or by other elastically deformable elements.

The transducer 70 a and 70 b is provided with fixation flanges 72 in order to attach the transducer in an application, e.g. in order for the transducer to work as an actuator. The arrows 73 indicate the direction of compliance.

FIGS. 20 a-20 e illustrate actuating transducers 80 provided with a preload. FIG. 20 a is a perspective view of a flat transducer 80 provided with fixation flanges 81. The flat transducer 80 of FIG. 20 a is pre-strained by a spring 82. Accordingly, the flat transducer 80 has a direction of actuation indicated by arrows 83. FIG. 20 b illustrates a similar flat transducer 80 in which the spring is replaced by a similar second flat transducer 80. FIG. 20 c illustrates half of a transducer, the transducer being similar to the transducer of FIG. 20 b and dimensioned by the use of a number of identical transducers (only half of them are shown). FIGS. 20 d and 20 e illustrate two alternative transducers 84 and 85 each comprising a number of flat transducers 80 being pre-strained by adjacent transducers similar to the transducer of FIG. 18 b. The transducers 84 and 85 actuate cross directional, in FIG. 20 d in a carpet-like structure and in FIG. 20 e in a wall-like structure.

It should be noted that the transducers of FIGS. 18-20 only require pre-strain along one direction, i.e. in the direction of compliance. Thus, a pre-strain in a direction transverse to the direction of compliance, which is necessary in prior art transducers, is not required in transducers according to the present invention.

FIG. 21 a illustrates two pre-strained transducers 90 having a flat tubular structure, the transducers 90 actuating in the longitudinal direction and thereby rotating an actuating shaft 91.

FIG. 21 b illustrates two mechanically pre-strained flat transducers 92, 93 provided with mechanical connection 94, which is supported by a guiding element for sliding purposes. The transducers 92, 93 are shown in three situations. In the first situation neither of the transducers 92, 93 are active. However, they are both mechanically pre-strained. In the second situation, transducer 93 is active. Since the transducer 92 is inactive, the transducer 93 causes transducer 92 to relax, thereby releasing some of the mechanical pre-strain of transducer 92. In the third situation transducer 92 is active while transducer 93 is inactive. Transducer 92 thereby causes transducer 93 to relax, thereby releasing some of the mechanical pre-strain of transducer 93. Thus, the transducers 92, 93 in combination with the mechanical connection 94 form a double-acting transducer in which one of the transducers causes the other transducer to relax and release mechanical pre-strain.

FIG. 22 illustrates an electroactive composite comprising a dielectric film 2 with a first surface 100 and a second surface 101 being opposite to the first surface 100. Both surfaces of the dielectric film 2 are partly covered with an electrically conductive layer. Due to the shape and location of the electrically conductive layers, an active portion A exists, in which electrode portions 102, 103 of the electrically conductive layers cover both surfaces 100, 101 of the dielectric film 2. The electrically conductive layers further define a first passive portion B in which only the second surface 101 of the dielectric film 2 is covered by a contact portion 104 of one of the conductive layers and a second passive portion C in which only the first surface 100 of the dielectric film 2 is covered by a contact portion 105 of the other conductive layer. As it appears, the electroactive composite can be electrically connected to a power supply or connected to control means for controlling actuation of the composite by bonding conductors to the contact portions 104, 105. Even if the illustrated composite is laminated, rolled, or folded to form a transducer with a large number of layers, the electrode portions 102, 103 may easily be connected to a power supply e.g. by penetrating the layers in each contact portion 104, 105 with an electrically conductive wire or rod and by connecting the wire or rod to the power supply. The ratio between the thickness of the dielectric film 2 and the thickness of the electrically conductive layers is merely for illustration purposes. The process illustrated in FIG. 22 may be referred to as ‘off-set’, since the contact portions 104, 105 are provided by applying the electrode portions 102, 103 on the surfaces 100, 101 of the dielectric film 2 ‘off-set’ relatively to each other.

FIGS. 23 a-23 c illustrate three different ways of space shifting two composites 1 of a multilayer composite forming a transducer where each composite 1 comprises an electrically conductive layer on a dielectric film. The illustrated composites 1 have a compliance direction in which they expand or contract when the transducer is activated. In FIG. 23 a, the contact portions are space shifted along the compliance direction, in FIG. 23 b, the contact portions are space shifted perpendicular to the compliance direction, and in FIG. 23 c, the contact portions are space shifted both in the compliance direction and in a direction being perpendicular to the compliance direction. In any of the configurations, it is desired to keep the region where the physical contact is made between the multilayer composite and the connecting wire, rod or similar conductor away from any source of stress or moving parts. FIG. 23 d illustrates the multilayer composite in a side view.

Thus, FIGS. 22 and 23 a-23 c illustrate two different principles for providing contact portions 104, 105, i.e. the ‘off-set’ principle in FIG. 22 and the ‘space shifting’ principle in FIGS. 23 a-23 c. These principles may be combined with various lamination processes, and a principle which is appropriate for the intended application may accordingly be chosen.

FIG. 24 illustrates that contact portions 104, 105 form part of electrically conductive layers and form extension islands on one side of the electrode portions 102 and 103. The islands of two adjacent composites in a multilayer composite are located differently so that the contact portions 104, 105 of adjacent composites are distant from each other.

FIG. 25 illustrates two composites each provided with an electrically conductive layer. When the composites are joined in a multilayer structure, they are offset relative to each other so that a portion of the electrically conductive layer on each composite forms a contact portion 104 being distant from the corresponding contact portion 105 on the other composite.

FIGS. 26 and 27 illustrate tubular transducers 50 as shown also in FIGS. 15 a and 15 b. The tubular transducers are connected to a power supply at the indicated contact portions 104, 105.

FIG. 28 illustrates a transducer 110 with a flat tubular structure. The transducer comprises contact portions 104, 105 on an inner surface. The contact portions may be connected to a power supply e.g. via one of the elongated rods 111 with electrically conductive contact portions. The rod 111 is shown in an enlarged view in FIG. 29 in which it can be seen that the rod 111 comprises two contact portions 112, 113 which come into contact with the contact portions 104, 105 of the flat tubular structure when the rod 111 is inserted into the tubular structure. The rods 111 could form part of a device on which the transducer operates. Both space-shifted and off-set electrode principles can be applied in contacting the above described transducer structure.

FIG. 30 shows three different kinds of connectors, i.e. a soft connector 120, a metal coated plastic connector 121, and a metal or metal coated grid strip connector 122. The soft connector 120 comprises an elastomer film 123 coated with a layer of electrically conductive material 124. Similarly, the metal coated plastic connector 121 comprises a plastic portion 125 coated with a metal layer 126.

FIGS. 31-35 illustrate composites 1 provided with electrical contacts. Since the composite 1 of the present invention is very soft, it is a challenge to join the composite 1 to a somewhat stiffer normal electrical connector, such as a wire, a strip, a grid, etc.

FIG. 31 shows a soft connector 120 connected to a composite 1 comprising a dielectric film 2 with a corrugated surface 3 provided with a layer of electrically conductive material 4. The electrically conductive parts 124, 4 of the soft connector 120 and the composite 1, respectively, have been joined via a layer of electrically conductive adhesive 127, thereby electrically connecting the composite 1 and the soft connector 120.

FIG. 32 shows two composites 1 having been joined as described above, i.e. via a layer of electrically conductive adhesive 127, and the composite 1 positioned on top is used as main electrode to a power supply.

FIG. 33 shows a metal or metal coated wire or strip 128 connected to a composite 1. The metal or metal coated wire or strip 128 is adapted to be connected to a main power supply. Similarly to what is described above, the metal or metal coated wire or strip 128 is joined to the electrically conductive layer 4 of the composite 1 by means of an electrically conductive adhesive 127. However, in this case the electrically conductive adhesive 127 is arranged in such a manner that it surrounds a periphery of the metal or metal coated wire or strip 128, thereby providing a very efficient electrical contact between the metal or metal coated wire or strip 128 and the electrically conductive layer 4 of the composite 1.

FIG. 34 shows a metal or metal coated grid strip connector 122 connected to a composite 1 via an electrically conductive adhesive 127. As described above with reference to FIG. 33, the electrically conductive adhesive 127 is arranged in such a manner that a part of the metal or metal coated grid strip connector 122 is completely surrounded, thereby providing a very good electrical contact.

FIG. 35 shows a metal coated plastic connector 121 connected to a composite 1 via a layer of electrically conductive adhesive 127. As described above with reference to FIGS. 31 and 32, the layer of electrically conductive adhesive 127 is arranged between the metal layer 126 of the metal coated plastic connector 121 and the electrically conductive layer 4 of the composite 1, thereby providing electrical contact there between.

FIG. 36 a illustrates the process of manufacturing a tool or mould for the process of making the composite, e.g. a composite 1 as illustrated in FIG. 1. FIG. 36 b illustrates the process of manufacturing the composite by use of the tool, and FIG. 36 c illustrates the process of making a transducer from the composite.

Thus, we start the process by making a master mould having the desired corrugation profile. We may fabricate the mould by laser interference lithography on photoresist coated glass, or by standard photolithography on silicon wafers.

For the standard photolithography on silicon wafers, the exposure mask is relatively simple and may preferably exhibit equally spaced and parallel lines, e.g. having a width of 5 μm and a spacing of 5 μm. Standard silicon micromachining recipes are then used to etch the silicon in order to form so-called V-grooves, i.e. grooves having a cross sectional shape resembling a ‘V’. A series of oxidation and hydrofluoric acid etching steps are then performed to transform the V-grooved structures into quasi-sinusoidal corrugations, if this is the desired shape.

We can fabricate master moulds of a relatively large size, such as up to 32 cm×32 cm, by means of laser interference lithography. In laser interference lithography two laser beams, each with an expanded spot size and with uniform energy distribution across the beam cross section, are caused to interfere onto a photoresist coated glass substrate. Such a process does not require any exposure mask, and relies on the interference phenomenon known in the field of optics. The result of exposure, development and, finally, hard-baking, is a direct sinus waveform profile written onto the photoresist, where profile period and amplitude are determined by the laser beam wavelength, the incidence angles of the laser beams onto the photoresist, and the thickness of the photoresist.

In the next step of the process as illustrated in FIG. 36, we use standard stress-free electroplating processes to fabricate a sufficient number of nickel copies or moulds necessary in order to obtain replication of corrugated microstructures onto plastic rolls. These nickel replicas also called shims have a thickness in the 100 micrometer range. These shims are mechanically attached in a serial configuration to form a “belt” having a total length which is precisely set to match the circumference of the embossing drum. Use of thin shims facilitates bending them without building too much stress and subsequently rolling the “belt” around the drum circumference. Each shim is placed with respect to its neighbours in such a way that corrugation lines are adjusted with micrometer accuracy for minimising any angular misalignment between lines of neighbouring shims. Then the corrugated microstructures of the embossing drums, resulting from the nickel moulds, are accurately replicated onto plastic rolls. We may do so by means of roll-to-roll micro embossing (UV or heat curing). Roll-to-roll embossing allows for the production of rolls of micro-embossed plastic material having lengths in the range of hundreds of meters. We use the micro-embossed plastic rolls as carrier web, e.g. in the form of a belt or a mould, for the production of dielectric films having single-surface or double-surface corrugations, e.g. elastomer films having lengths in the range of hundreds of meters.

We fabricate corrugated elastomer films or sheets of limited size by well known spin coating. It is a discontinuous process, and the maximum size of the film or sheet is determined by the size of the mould. Alternative types of production processes are the kinds developed for the polymer industry, such as adhesive tapes, painting, etc., normally referred to as ‘roll-to-roll coating’ or ‘web coating’. These production processes are large scale, large volume, and continuous processes.

In a subsequent step, we fabricate elastomer films using the micro-embossed plastic roll, e.g. using a roll-to-roll, reverse roll, gravure, slot die, bead or any other suitable kind of coating technique. As a result an elastomer coated plastic film is obtained. To this end reverse roll and gravure roll coating techniques are considered the most promising among other known techniques because they offer coatings which are uniform and have a relatively well defined thickness. We select the surface properties of the embossed plastic roll or mould and of the embossing resin in a manner which allows for wetting by the elastomer material. We carry out the production process of the elastomer film in a clean room environment in order to fabricate pinhole-free elastomer films of high quality.

We expose non-cured elastomer film formed onto the mould as described above to heat, ultraviolet light or any other source capable of initiating cross-linking, in order to cause the elastomer film to cure. The chosen source will depend on the type of elastomer material used, in particular on the curing mechanism of the used material.

Then we release the cured film from the mould in a delamination process. To this end appropriate release tooling is used. We may preferably choose mould material and elastomer material to facilitate the releasing process. Very weak adhesion of cured elastomer to the substrate mould is preferred. If very good adhesion occurs, the release process can fail and damage the film. A single-sided corrugated elastomer film roll is the product of this delamination process.

In the next step we deposit the metal electrode onto the corrugated surface of the elastomer film by means of vacuum web metallization. Accordingly, a metal coating, e.g. a coating of silver, nickel, gold, etc., is applied to the corrugated surface. Thus, a composite is formed.

The challenge in the large scale manufacturing of elastomer film having lengths in the range of kilometers is not in the production of flat films, but rather in the production of single-sided or double-sided corrugated film with precise and very well defined micro structures. Another challenge is in handling these very soft materials using controlled tension forces which are several orders of magnitude smaller than the control tension forces normally occurring in the polymer industry. Metallization of a corrugated elastomer film surface with reliable coating layers, when the thickness of a coating layer is only 1/100 of the depth of the corrugated pattern, is yet another challenging issue of the production process.

Next, we laminate the coated elastomer films, the composites, thereby forming a multilayer composite, as described above. Then we roll the multilayer composite to form the final rolled transducer structure. The rolled transducer undergoes finishing and cutting, and electrical connections are applied.

Finally, we may integrate the finished transducer into a final product along with control electronics, and the transducer is ready for use.

Although the present invention has been described with respect to discharge check valve assemblies for scroll compressors, the claimed invention may be easily adapted for used with any pressurized vessel. Further, although this invention has been shown and described with respect to the detailed embodiments thereof, it will be understood by those skilled in the art that various changes in form and detail thereof may be made without departing from the spirit and scope of the invention. 

1. A capacitive transducer comprising: a set of electrodes arranged with a dielectric material there between, the electrodes and the dielectric material thereby forming a capacitor, wherein the capacitor is arranged in such a manner that electrical energy supplied to the electrodes can be at least partly converted into mechanical work for actuation by the transducer, and in such a manner that the transducer in an unsupported state fulfils Euler's criteria for stability within a normal operating range for the transducer, and wherein at least one surface of the dielectric material is provided with a corrugated pattern.
 2. The transducer according to claim 1, wherein the capacitor is arranged in such a manner that at least part of the electrical energy supplied to the electrodes is converted directly into mechanical work for actuation by the transducer.
 3. The transducer according to claim 1, wherein the capacitor is further arranged in such a manner that electrical energy supplied to the electrodes can be partly converted into potential energy, said potential energy being stored in the dielectric material, and in such a manner that stored potential energy can be converted into work for actuation by the transducer during discharging of the capacitor.
 4. The transducer according to claim 1, wherein the dielectric material is a polymer.
 5. The transducer according to claim 1, wherein the dielectric material is an elastomer.
 6. The transducer according to claim 1, wherein the electrodes are coated onto a film of dielectric material.
 7. The transducer according to claim 1, wherein the corrugated pattern comprises waves forming crests and troughs extending in one common direction, the waves defining an anisotropic characteristic facilitating movement in a direction perpendicular to the common direction.
 8. The transducer according to claim 7, wherein the waves have a shape which is periodically repeated.
 9. The transducer according to claim 7, wherein the waves have a shape and/or a size which varies periodically along a direction being substantially perpendicular to the common direction.
 10. The transducer according to claim 7, wherein each wave defines a height being a shortest distance between a crest and neighbouring troughs.
 11. The transducer according to claim 10, wherein each wave defines a largest wave having a height of at most 110 percent of an average wave height.
 12. The transducer according to claim 10, wherein each wave defines a smallest wave having a height of at least 90 percent of an average wave height.
 13. The transducer according to claim 10, wherein an average wave height of the waves is between ⅓ μm and 20 μm.
 14. The transducer according to claim 7, wherein the waves have a wavelength defined as the shortest distance between two crests, and wherein the ratio between an average height of the waves and an average wavelength is between 1/30 and
 2. 15. The transducer according to claim 14, wherein the waves have an average wavelength in the range of 1 μm to 20 μm.
 16. The transducer according to claim 7, wherein the dielectric material has a thickness defined as the shortest distance from a point on one surface of the dielectric material to an intermediate point located halfway between a crest and a trough on a corrugated surface of the dielectric material, the thickness being between 10 μm and 200 μm.
 17. The transducer according to claim 16, wherein a ratio between an average height of the waves and an average thickness of the dielectric material is between 1/50 and 1/2.
 18. The transducer according to claim 7, wherein a ratio between an average thickness of the electrodes and an average height of the waves is between 1/1000 and 1/50.
 19. The transducer according to claim 1, wherein at least one of the electrodes is provided with a corrugated surface pattern.
 20. The transducer according to claim 1, wherein the capacitor has been rolled to form a coiled pattern of dielectric material and electrodes, the rolled capacitor thereby forming the transducer.
 21. The transducer according to claim 20, wherein the capacitor is rolled around an axially extending axis to form a transducer of an elongated shape extending in the axial direction.
 22. The transducer according to claim 20, wherein the rolled capacitor forms a tubular member.
 23. The transducer according to claim 22, wherein the rolled capacitor forms a member of a substantially cylindrical or cylindrical-like shape.
 24. The transducer according to claim 23, wherein the rolled capacitor defines a cross sectional area, A, being the area of the part of the cross section of the rolled capacitor where the material forming the rolled capacitor is positioned, wherein A is within the range 10 mm2 to 20000 mm2.
 25. The transducer according to claim 24, wherein the rolled capacitor defines a radius of gyration, r_(g), given by ${r_{g} = \sqrt{\frac{I}{A}}},$ where I is the area moment of inertia of the rolled capacitor, wherein r_(g) is within the range 5 mm to 100 mm.
 26. The transducer according to claim 25, wherein the rolled capacitor defines a slenderness ratio, λ, given by λ=L/r_(g), where L is an axial length of the rolled capacitor, wherein λ is smaller than
 20. 27. The transducer according to claim 25, wherein the rolled capacitor defines a wall thickness, t, and wherein the ratio t/r_(g) is within the range 1/1000 to
 2. 28. The transducer according to claim 20, wherein the rolled capacitor has a wall thickness, t, and comprises a number of windings, n, being in the range of 5 to 100 windings per mm wall thickness.
 29. The transducer according to claim 20, wherein the rolled capacitor comprises a centre rod arranged in such a manner that the capacitor is rolled around the centre rod, the centre rod having a modulus of elasticity which is lower than a modulus of elasticity of the dielectric material.
 30. The transducer according to claim 20, wherein the rolled capacitor comprises a centre rod arranged in such a manner that the capacitor is rolled around the centre rod, the centre rod having an outer surface abutting the rolled capacitor, said outer surface having a friction which allows the rolled capacitor to slide along said outer surface during actuation of the transducer.
 31. The transducer according to claim 20, wherein the rolled capacitor has an area moment of inertia of the cross section which is at least 50 times an area moment of inertia of the cross section of an un-rolled capacitor.
 32. The transducer according to claim 20, wherein the rolled capacitor has a number of windings sufficient to achieve an area moment of inertia of the cross section of the rolled capacitor which is at least 50 times an average of an area moment of inertia of the cross section of an un-rolled capacitor.
 33. The transducer according to claim 20, wherein positive and negative electrodes are arranged on the same surface of the dielectric material in a pattern, and wherein the capacitor is formed by rolling the dielectric material having the electrodes arranged thereon in such a manner that the rolled capacitor defines layers where, in each layer, a positive electrode is arranged opposite a negative electrode with dielectric material there between.
 34. The transducer according to claim 1, wherein the capacitor has a capacitance which varies as a function of electrical energy applied to the electrodes.
 35. The transducer according to claim 1, wherein the capacitor has a capacitance which varies as a function of mechanical energy applied to the capacitor.
 36. The transducer according to claim 1, wherein the electrodes each have a resistivity which is less than 10⁻⁴ Ω·cm.
 37. The transducer according to claim 1, wherein the dielectric material has a resistivity which is larger than 10¹⁰ Ω·cm.
 38. The transducer according to claim 1, wherein the electrodes are made from a metal or an electrically conductive alloy.
 39. The transducer according to claim 38, wherein the electrodes are made from a metal selected from a group consisting of silver, gold and nickel.
 40. The transducer according to claim 1, wherein the electrodes each have a thickness in the range of 0.01 μm to 0.1 μm.
 41. The transducer according to claim 1, wherein the transducer is arranged in connection with electrical control means to convert between electrical and mechanical energies.
 42. The transducer according to claim 41, wherein the transducer is arranged to create a pressure by the use of electrostatic forces.
 43. The transducer according to claim 1, wherein the electrodes are arranged on first and second surfaces of the dielectric material, the electrodes defining: an active portion of the transducer, wherein electrode portions cover both surfaces of the dielectric material, a first passive portion and a second passive portion, in which passive portions only one surface of the dielectric material is covered by one of the electrodes, wherein the first passive portion is defined by a contact portion of the electrode on the first surface, and the second passive portion is defined by a contact portion of the electrode of the second surface.
 44. The transducer according to claim 43, wherein the contact portions form an extension to the electrode portions.
 45. The transducer according to claim 43, wherein the transducer comprises a multilayer composite of at least two layers of dielectric material, and wherein a first layer of dielectric material comprises the first electrode, a second layer of dielectric material comprises the second electrode, and the layers are joined in a displaced configuration forming a contact portion on each surface of the multilayer composite.
 46. The transducer according to claim 43, wherein at least one electrical connector is attached to a contact portion on each surface of the dielectric material.
 47. The transducer according to claim 46, wherein the electrical connector comprises a metal strip, a metal element, a metal coated polymer element and/or an electrically conducting polymer strip.
 48. The transducer according to claim 46, wherein the electrical connector comprises an electrically conductive adhesive and/or an electrically conductive polymer. 